Special issue on $C_p(X)$-theory (Q1303761)

scientific article; zbMATH DE number 1338667

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English	Special issue on $C_p(X)$-theory	scientific article; zbMATH DE number 1338667

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title

Special issue on $C_p(X)$-theory (English)

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published in

Topology and its Applications

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publication date

20 September 1999

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review text

The articles of this volume will be reviewed individually.

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zbMATH Keywords

Special issue

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Publication

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cites work

Uniform equivalence between Banach spaces

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Some remarks on Eberlein compacts

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A theorem on the weak topology of C(X) for compact scattered X

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The structure of weakly compact sets in Banach spaces

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Projections and extension maps in C(T)

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A topology for spaces of transformations

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Extension of functions on fully normal spaces

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Topologies for function spaces

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On the Structure of Weakly Compact Subsets of Hilbert Spaces and Applications to the Geometry of Banach Spaces

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On weakly Lindelöf Banach spaces

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Functional-analytic properties of Corson-compact spaces

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On Weakly K-Countably Determined Spaces of Continuous Functions

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ON SOME TOPOLOGICAL SPACES THAT OCCUR IN FUNCTIONAL ANALYSIS

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Function spaces in the topology of pointwise convergence, and compact sets

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Q3715852

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Q3772900

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General topology III. Paracompactness, function spaces, descriptive theory. Transl. from the Russian by G. G. Gould

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Hereditarily Lindelöf spaces of continuous functions

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Q3672683

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Q3310574

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Q3998752

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Relative topological properties and relative topological spaces

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On Lindelöf's degree of topological function spaces and on embeddings in $C_ p(X)$

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Q3744865

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ON LINEAR TOPOLOGICAL CLASSIFICATION OF SPACES OF CONTINUOUS FUNCTIONS IN THE TOPOLOGY OF POINTWISE CONVERGENCE

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Q4281177

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On Lindelöf property and spread in $C_ p$-theory

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On spread and condensations

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On a theorem of Grothendieck in $C_ p$-theory

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A characterization of $\sigma $-compactness of a cosmic space $X$ by means of subspaces of $R^X$

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Calibers and point-finite cellularity of the space Cp(X) and some questions of S. Gul'ko and M. Hušek

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On the Linear Invariance of Lindelöf Numbers

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Absorbing systems in infinite-dimensional manifolds

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Q4734465

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On the l-equivalence of metric spaces

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Q4000501

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An Example of l p -Equivalent Spaces Which Are Not l ∗ p -Equivalent

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Function Spaces of Completely Metrizable Spaces

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Mappings Between Function Spaces

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On Compactness in Functional Analysis

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Q5649089

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Q3029770

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Q3811339

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Some properties of weak topology of Banach spaces

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Continuous images of weakly compact subsets of Banach spaces

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Spaces of continuous functions (IV). (On isomorphical classification of spaces of continuous functions).

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On μ-Spaces and k R -Spaces

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On stratifiable spaces

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On Function Spaces of Stratifiable Spaces and Compact Spaces

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Q3205926

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Q3049494

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Pointwise Compact Sets of Baire-Measurable Functions

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Compacite Extremale

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Q3479846

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Q3488132

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Notes sur la Propriete de Namioka

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The class of co-Namioka compact spaces is stable under product

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FUNCTION SPACES AND PRODUCT TOPOLOGIES

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Sur quelques propriétés de l'espace C$_s$(T)

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Q4123989

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Q3702957

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Espaces $K_\sigma$ et espaces des applications continues

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Q4722829

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Q3808840

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$k$-spaces and Borel filters on the set of integers

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Q3854306

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L'Espace des Fonctions Continues d'un Espace Metrique Denombrable

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Q4314817

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General theorems on functional equivalence of topological spaces

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Q5181909

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Joint Continuity of Separately Continuous Functions

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Q3687319

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Estimates for the Number of Real-Valued Continuous Functions

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Normality in Subsets of Product Spaces

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The Weak Topology of a Banach Space

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On Function Spaces Which are Lindelof Spaces

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Espaces К‐analytiques et espaces de Baire de fonctions continues

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Pointwise and uniform convergence on a Corson compact space

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Q4020236

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Some Applications of Projective Resolutions of Identity

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Recent classification and characterization results in geometric topology

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Function Spaces of Low Borel Complexity

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Q4374684

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Q3742318

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Q3827075

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Function spaces homeomorphic to the countable product of $\ell ^ f_ 2$

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Classification of function spaces with the pointwise topology determined by a countable dense set

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On Topological Classification of Function Spaces C p (X) of Low Borel Complexity

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Certain Sequence and Function Spaces Homeomorphic to the Countable Product of l 2 f

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Simultaneous linear extension of Continuous functions

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Weak Covering Properties of Weak Topologies

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An extension of Tietze's theorem

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Weak Compactness in Banach Spaces

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Q5640199

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A Note on Pointwise Convergence

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On topologies for function spaces

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Condition for a Function Space to be Locally Compact

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Compact Sets of Functions and Function Rings

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$p$-Fréchet-Urysohn property of function spaces

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Some properties of C(X). II

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Some properties of C(X). I

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Q3784815

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Q3270120

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Compacts de Rosenthal

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Espaces de Banach représentables

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Criteres de Compacite dans les Espaces Fonctionnels Generaux

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Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)

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Covering properties on $X^ 2\setminus \Delta $, $W$-sets, and compact subsets of $\Sigma$-products

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On a Corson space of Todorčević

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Games, covering properties and Eberlein compacts

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A Note on Gul'ko Compact Spaces

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Baireness of $C_ k(X)$ for locally compact $X$

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Q4180930

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Q3854310

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ON THE STRUCTURE OF SPACES OF CONTINUOUS FUNCTIONS AND THEIR COMPLETE PARACOMPACTNESS

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Q4007670

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Q4014497

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Compactness is not preserved by the t-equivalence relation

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Isomorphic classification of spaces of continuous functions on totally ordered compact sets

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Mapping spaces and cs-networks

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Ascoli theorems and the pseudocharacter of mapping spaces

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Approximation of Real Continuous Functions of Lindelof Spaces

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Function space topologies

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Quasicontinuity and Namioka's theorem

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On dual $L^1$-spaces and injective bidual Banach spaces

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Q4000619

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A Counterexample to Several Questions about Scattered Compact Spaces

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Countable unions of compact spaces with the Namioka property

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Baire trees, bad norms and the Namioka property

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A locally uniformly convex renorming for certain ℒ(K)

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Monotonically Normal Spaces

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Q4775158

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Q4051287

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Dugundji extension theorems for linearly ordered spaces

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Q4069978

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Criteria for Eberlein compactness in spaces of continuous functions

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Spaces of Baire functions. I

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Norm fragmented weak$^*$ compact sets

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σ‐fragmentable Banach spaces

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Chain conditions and continuous mappings on $C_ p(X)$

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Compact Sets in CP(X) and Calibers

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Compact Subsets in Function Spaces

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Linear topological classification of certain function spaces on manifolds and CW complexes

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Dense strong continuity of pointwise continuous mappings

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Q4725152

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Pointwise Compactness on Extreme Points

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Classification of spaces of continuous functions of ordinals

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Q4021986

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On compacta which are $\ell$-equivalent to $I^ n$

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Q5680747

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Q4042301

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Q4107603

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The bounded-open topology on function spaces

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A note on spaces related to Namioka spaces

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Everywhere dense metrizable subspaces of Corson compacta

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Q3799306

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Final compactness is not preserved under products of spaces of the form $C_ p(X)$

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The Free Abelian Topological Group and the Free Locally Convex Space on the Unit Interval

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Q3711330

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Q5640213

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Examples of separable spaces which do not contain $l_{1}$ and whose duals are non-separable

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Q4136031

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Category in function spaces. I

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Descriptive Complexity of Function Spaces

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The Cantor Tree, the γ-Property, and Baire Function Spaces

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Spaces of continuous functions in elementary generic extensions

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Cartesian products of Fréchet topological groups and function spaces

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Lindelof Property in Function Spaces and a Related Selection Theorem

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A function space C(K) not weakly homeomorphic to C(K)×C(K)

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Order types, calibres and spread of Corson compacta

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Q4841747

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A countable $X$ having a closed subspace $A$ with $C_ p(A)$ not a factor of $C_ p(X)$

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On a classification of pointwise compact sets of the first Baire class functions

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On Properties of Rosenthal Compacta

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On analytic and coanalytic function spaces $C_ p(X)$

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On sequential convergence in weakly compact subsets of Banach spaces

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$P$-filters and hereditary Baire function spaces

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First Category Function Spaces Under the Topology of Pointwise Convergence

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Q4179508

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Submetrizable Spaces and Almost σ-Compact Function Spaces

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Countability properties of function spaces

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Q3879924

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Q3911072

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K-space function spaces

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Completeness properties of function spaces

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On a Theorem of Rudin and Klee

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Q5526599

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Q5620181

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Q4122490

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A note on Eberlein compacts

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Another note on Eberlein compacts

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Q3812929

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Q3772899

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Q4298772

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Note on mapping spaces

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TOPOLOGICAL VECTOR SPACES OF CONTINUOUS FUNCTIONS

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Q5794919

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Separate continuity and joint continuity

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Radon‐Nikodým compact spaces and fragmentability

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Banach spaces which are Asplund spaces

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Mappings of Baire spaces into function spaces and Kadeč renorming

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Q3709279

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The Density Character of Function Spaces

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Q3473801

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Q3697876

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Q3704593

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Weak topology of an associated space and $t$-equivalence

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On Lindelöf $\Sigma$-spaces of continuous functions in the pointwise topology

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On Lindelöf sets of continuous functions

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Q3141266

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Homeomorphisms of function spaces and hereditary cardinal invariants

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Q4747204

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On Paracompactness in Function Spaces with the Compact-Open Topology

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Pointwise Compactness in Spaces of Continuous Functions

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Every Radon-Nikodym Corson compact space is Eberlein compact

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Spaces of continuous functions (III) (Spaces C(Ω) for Ω without perfect subsets)

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Q3667604

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Separate and joint continuity

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Compact spaces that result from adequate families of sets

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Normality in function spaces

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Q4171273

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Q3878382

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A function space C(X) which is weakly Lindelöf but not weakly compactly generated

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On a question of H.H. Corson and some related problems

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A theorem on the weak topology of C(X) for compact scattered X

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Note on the spaces P(S) of regular probability measures whose topology is determined by countable subsets

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Note on Compact Sets of First Baire Class Functions

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Note on pointwise convergence of sequences of analytic sets

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On metrizable E with C p ( E ) ≇ C p ( E ) × C p ( E )

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Q4062341

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A Device Of R. J. Whitley's Applied to Pointwise Compactness in Spaces of Continuous Functions

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Q5849175

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Weak compactness in convex topological linear spaces

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Two remarks on weak compactness

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Q5520371

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On the tightness of spaces of continuous functions

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Q3966751

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Baire property of spaces of continuous functions

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Sequential Compactness of X Implies a Completeness Property for C(X)

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Normality and collective normality of function spaces

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Extension of functions defined on products of pseudocompact spaces and continuity of the inverse in pseudocompact groups

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On a class of Hausdorff compact and GSG Banach spaces

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Internal characterization of fragmentable spaces

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Q4052703

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Point-Wise Compact Subsets of the First Baire Class

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Some recent discoveries in the isomorphic theory of Banach spaces

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A note on certain function spaces

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Q4104547

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Jeux Topologiques et Espaces de Namioka

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Espaces de fonctions continues

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A pseudocompact Tychonoff space all countable subsets of which are closed and $C^*$-embedded

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On locally convex vector spaces of continuous functions

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Q4084926

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On Lindelöf $\sigma$-spaces of functions and the Suslin number

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Structure of multiple function spaces in the topology of pointwise convergence for Eberlein compacta

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Lindelöf spaces of continuous functions

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Q3697869

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Lindelöf property and the iterated continuous function spaces

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The Radon-Nikodym Property in Conjugate Banach Spaces

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Topological spaces with dense subspaces that are homeomorphic to complete metric spaces and the classification of C(K) Banach spaces

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Generalizations of a Theorem of Namioka

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Banach Spaces Whose Duals Contain l 1 (Γ) With Applications to the Study of Dual L 1 (μ) Spaces

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A Note on Paracompactness and Normality of Mapping Spaces

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Q4078567

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Q4179198

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Q4173958

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Sur la $\mathcal K$-analyticité de certains espaces d'opérateurs

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Espaces de Banachs faiblement K-analytiques

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Deux generalisations d'un theoreme de I. Namioka. (Two generalisations of a theorem of I. Namioka)

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Compacts de fonctions mesurables et filtres non mesurables

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A new countably determined Banach space

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Espaces de Baire et espaces de Namioka

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Q3869988

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Continuous images of function spaces

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Q3684799

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The spaces $C_ p(X):$ decomposition into a countable union of bounded subspaces and completeness properties

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Calibers of spaces of functions and the metrization problem for compact subsets of $C_ p(X)$

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Q3326405

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On a supertopological cardinal invariant

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On the multiplicativity of certain properties of spaces of mappings in the topology of pointwise convergence

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Q3736527

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Methods of the theory of cardinal invariants and the theory of mappings as applied to spaces of functions

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What if $C_ p(X)$ is perfectly normal?

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When is the space $C_ p(X)$ $\sigma$-countably-compact?

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Pseudocompact sets, absolutely Warner bounded sets and continuous function spaces

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Q4321462

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Compact subsets of the first Baire class

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Espaces fonctionnels et théorèmes de I. Namioka

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Une approche nouvelle de la presque-périodicité faible

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Quasi-Continuite, Continuite Separee, et Topologie Extremale

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On pointwise convergence, compactness, and equicontinuity. II

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A characterization of compactness in terms of uniform structure in a function space

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Q3310575

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Q3685648

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Q3738230

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Linear Topological Classifications of Certain Function Spaces

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On one generalization of weakly compactly generated Banach spaces

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The Lindelöf property is $1$-invariant

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Weak topology of spaces of continuous functions

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A Remark on the Density Character of Function Spaces

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On topological spaces whose function space is of second category

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Characterizing separability of function spaces

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On a theorem of Corson and Lindenstrauss on Lindelöf function spaces

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On Compactness in Function Spaces

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The topology of compact convergence on continuous function spaces

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Pointwise compactness in spaces of functions and R. C. James theorem

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Q3876677

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Q3900649

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Compactness in Function Spaces; Another Proof of a Theorem of J. D. Pryce

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Hereditary m-separability and the hereditary m-Lindelöf property in product spaces and function spaces

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full work available at URL

https://doi.org/10.1016/s0166-8641(98)00214-4

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Identifiers

zbMATH Open document ID

0922.00006

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DOI

10.1016/S0166-8641(98)00214-4

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:1303761

Special issue on \(C_p(X)\)-theory (Q1303761)

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Mathematics(1 entry)