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

DOI10.1016/S0166-8641(98)00214-4zbMath0922.00006OpenAlexW1997959933MaRDI QIDQ1303761

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Publication date: 20 September 1999

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-8641(98)00214-4

zbMATH Keywords

Special issue

Mathematics Subject Classification ID

Collections of articles of miscellaneous specific interest (00B15) Proceedings, conferences, collections, etc. pertaining to general topology (54-06)

Cites Work

• Function spaces homeomorphic to the countable product of \(\ell ^ f_ 2\)
• On Lindelöf property and spread in \(C_ p\)-theory
• On Lindelöf \(\Sigma\)-spaces of continuous functions in the pointwise topology
• On analytic and coanalytic function spaces \(C_ p(X)\)
• Hereditarily Lindelöf spaces of continuous functions
• On Lindelöf's degree of topological function spaces and on embeddings in \(C_ p(X)\)
• Sur quelques propriétés de l'espace C\(_s\)(T)
• A note on certain function spaces
• The topology of compact convergence on continuous function spaces
• A new countably determined Banach space
• Covering properties on \(X^ 2\setminus \Delta \), \(W\)-sets, and compact subsets of \(\Sigma\)-products
• Pseudocompact sets, absolutely Warner bounded sets and continuous function spaces
• Note on the spaces P(S) of regular probability measures whose topology is determined by countable subsets
• On a supertopological cardinal invariant
• On the multiplicativity of certain properties of spaces of mappings in the topology of pointwise convergence
• Espaces de Baire et espaces de Namioka
• A pseudocompact Tychonoff space all countable subsets of which are closed and \(C^*\)-embedded
• Continuous images of function spaces
• Calibers and point-finite cellularity of the space Cp(X) and some questions of S. Gul'ko and M. Hušek
• The spaces \(C_ p(X):\) decomposition into a countable union of bounded subspaces and completeness properties
• Baire property of spaces of continuous functions
• Everywhere dense metrizable subspaces of Corson compacta
• Games, covering properties and Eberlein compacts
• Separate and joint continuity
• Lindelöf spaces of continuous functions
• When is the space \(C_ p(X)\) \(\sigma\)-countably-compact?
• Completeness properties of function spaces
• Compactness is not preserved by the t-equivalence relation
• Spaces of continuous functions in elementary generic extensions
• On compacta which are \(\ell\)-equivalent to \(I^ n\)
• On Lindelöf \(\sigma\)-spaces of functions and the Suslin number
• Calibers of spaces of functions and the metrization problem for compact subsets of \(C_ p(X)\)
• Final compactness is not preserved under products of spaces of the form \(C_ p(X)\)
• Countability properties of function spaces
• K-space function spaces
• Dense strong continuity of pointwise continuous mappings
• The bounded-open topology on function spaces
• Une approche nouvelle de la presque-périodicité faible
• Compacts de Rosenthal
• Criteria for Eberlein compactness in spaces of continuous functions
• Category in function spaces. I
• Espaces de Banach représentables
• Some properties of C(X). I
• Weak topology of an associated space and \(t\)-equivalence
• Normality and collective normality of function spaces
• Norm fragmented weak\(^*\) compact sets
• Order types, calibres and spread of Corson compacta
• Chain conditions and continuous mappings on \(C_ p(X)\)
• Quasicontinuity and Namioka's theorem
• Cartesian products of Fréchet topological groups and function spaces
• Absorbing systems in infinite-dimensional manifolds
• Separate continuity and joint continuity
• On pointwise convergence, compactness, and equicontinuity. II
• Dugundji extension theorems for linearly ordered spaces
• Isomorphic classification of spaces of continuous functions on totally ordered compact sets
• Classification of spaces of continuous functions of ordinals
• Banach spaces which are Asplund spaces
• Espaces de fonctions continues
• Another note on Eberlein compacts
• A note on Eberlein compacts
• Deux generalisations d'un theoreme de I. Namioka. (Two generalisations of a theorem of I. Namioka)
• Continuous images of weakly compact subsets of Banach spaces
• Espaces de Banachs faiblement K-analytiques
• Sur la \(\mathcal K\)-analyticité de certains espaces d'opérateurs
• On dual \(L^1\)-spaces and injective bidual Banach spaces
• The Lindelöf property is \(1\)-invariant
• General theorems on functional equivalence of topological spaces
• \(P\)-filters and hereditary Baire function spaces
• On weakly Lindelöf Banach spaces
• \(p\)-Fréchet-Urysohn property of function spaces
• Extension of functions defined on products of pseudocompact spaces and continuity of the inverse in pseudocompact groups
• Baireness of \(C_ k(X)\) for locally compact \(X\)
• Homeomorphisms of function spaces and hereditary cardinal invariants
• On a theorem of Grothendieck in \(C_ p\)-theory
• Mappings of Baire spaces into function spaces and Kadeč renorming
• Methods of the theory of cardinal invariants and the theory of mappings as applied to spaces of functions
• Pointwise and uniform convergence on a Corson compact space
• Weak topology of spaces of continuous functions
• Some properties of C(X). II
• Spaces of Baire functions. I
• On Lindelöf sets of continuous functions
• A countable \(X\) having a closed subspace \(A\) with \(C_ p(A)\) not a factor of \(C_ p(X)\)
• General topology III. Paracompactness, function spaces, descriptive theory. Transl. from the Russian by G. G. Gould
• What if \(C_ p(X)\) is perfectly normal?
• Compact spaces that result from adequate families of sets
• Linear topological classification of certain function spaces on manifolds and CW complexes
• Relative topological properties and relative topological spaces
• Pointwise compactness in spaces of functions and R. C. James theorem
• Some properties of weak topology of Banach spaces
• The structure of weakly compact sets in Banach spaces
• On stratifiable spaces
• On topological spaces whose function space is of second category
• Function space topologies
• Characterizing separability of function spaces
• On a theorem of Corson and Lindenstrauss on Lindelöf function spaces
• Mapping spaces and cs-networks
• Projections and extension maps in C(T)
• Structure of multiple function spaces in the topology of pointwise convergence for Eberlein compacta
• An extension of Tietze's theorem
• Topologies for function spaces
• On Properties of Rosenthal Compacta
• σ‐fragmentable Banach spaces
• Compact Sets in C_P(X) and Calibers
• Certain Sequence and Function Spaces Homeomorphic to the Countable Product of l ² _f
• Simultaneous linear extension of Continuous functions
• Sequential Compactness of X Implies a Completeness Property for C(X)
• The Radon-Nikodym Property in Conjugate Banach Spaces
• Examples of separable spaces which do not contain $l_{1}$ and whose duals are non-separable
• Some remarks on Eberlein compacts
• A theorem on the weak topology of C(X) for compact scattered X
• ON SOME TOPOLOGICAL SPACES THAT OCCUR IN FUNCTIONAL ANALYSIS
• On μ-Spaces and k R -Spaces
• On one generalization of weakly compactly generated Banach spaces
• Submetrizable Spaces and Almost σ-Compact Function Spaces
• Some recent discoveries in the isomorphic theory of Banach spaces
• Point-Wise Compact Subsets of the First Baire Class
• Uniform equivalence between Banach spaces
• A characterization of $\sigma $-compactness of a cosmic space $X$ by means of subspaces of $R^X$
• Compact subsets of the first Baire class
• Lindelöf property and the iterated continuous function spaces
• The Cantor Tree, the γ-Property, and Baire Function Spaces
• An Example of l p -Equivalent Spaces Which Are Not l ∗ p -Equivalent
• Function Spaces of Completely Metrizable Spaces
• Some Applications of Projective Resolutions of Identity
• Countable unions of compact spaces with the Namioka property
• Notes sur la Propriete de Namioka
• On sequential convergence in weakly compact subsets of Banach spaces
• Weak Covering Properties of Weak Topologies
• The Free Abelian Topological Group and the Free Locally Convex Space on the Unit Interval
• Normality in function spaces
• Every Radon-Nikodym Corson compact space is Eberlein compact
• On a Corson space of Todorčević
• On the tightness of spaces of continuous functions
• On Weakly K-Countably Determined Spaces of Continuous Functions
• Jeux Topologiques et Espaces de Namioka
• First Category Function Spaces Under the Topology of Pointwise Convergence
• The Density Character of Function Spaces
• Ascoli theorems and the pseudocharacter of mapping spaces
• Baire trees, bad norms and the Namioka property
• On metrizable E with C _p ( E ) ≇ C _p ( E ) × C _p ( E )
• Classification of function spaces with the pointwise topology determined by a countable dense set
• The class of co-Namioka compact spaces is stable under product
• $k$-spaces and Borel filters on the set of integers
• On the Linear Invariance of Lindelöf Numbers
• A Counterexample to Several Questions about Scattered Compact Spaces
• A locally uniformly convex renorming for certain ℒ(K)
• FUNCTION SPACES AND PRODUCT TOPOLOGIES
• On Function Spaces Which are Lindelof Spaces
• On Function Spaces of Stratifiable Spaces and Compact Spaces
• Approximation of Real Continuous Functions of Lindelof Spaces
• A Remark on the Density Character of Function Spaces
• Compact Subsets in Function Spaces
• Estimates for the Number of Real-Valued Continuous Functions
• On Paracompactness in Function Spaces with the Compact-Open Topology
• On Compactness in Function Spaces
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• A Device Of R. J. Whitley's Applied to Pointwise Compactness in Spaces of Continuous Functions
• Compactness in Function Spaces; Another Proof of a Theorem of J. D. Pryce
• Banach Spaces Whose Duals Contain l 1 (Γ) With Applications to the Study of Dual L 1 (μ) Spaces
• Condition for a Function Space to be Locally Compact
• Monotonically Normal Spaces
• A Note on Paracompactness and Normality of Mapping Spaces
• On a classification of pointwise compact sets of the first Baire class functions
• Note on pointwise convergence of sequences of analytic sets
• Weak Compactness in Banach Spaces
• Compact Sets of Functions and Function Rings
• A Note on Pointwise Convergence
• Criteres de Compacite dans les Espaces Fonctionnels Generaux
• Mappings Between Function Spaces
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)
• TOPOLOGICAL VECTOR SPACES OF CONTINUOUS FUNCTIONS
• Weak compactness in convex topological linear spaces
• On locally convex vector spaces of continuous functions
• On topologies for function spaces
• On Compactness in Functional Analysis
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• Extension of functions on fully normal spaces
• A topology for spaces of transformations
• Function Spaces of Low Borel Complexity
• Pointwise Compact Sets of Baire-Measurable Functions
• Espaces fonctionnels et théorèmes de I. Namioka
• On a class of Hausdorff compact and GSG Banach spaces
• Recent classification and characterization results in geometric topology
• Two remarks on weak compactness
• Note on mapping spaces
• Spaces of continuous functions (III) (Spaces C(Ω) for Ω without perfect subsets)
• Spaces of continuous functions (IV). (On isomorphical classification of spaces of continuous functions).
• Normality in Subsets of Product Spaces
• The Weak Topology of a Banach Space
• On a Theorem of Rudin and Klee
• A characterization of compactness in terms of uniform structure in a function space
• A note on spaces related to Namioka spaces
• ON LINEAR TOPOLOGICAL CLASSIFICATION OF SPACES OF CONTINUOUS FUNCTIONS IN THE TOPOLOGY OF POINTWISE CONVERGENCE
• Quasi-Continuite, Continuite Separee, et Topologie Extremale
• Function spaces in the topology of pointwise convergence, and compact sets
• Descriptive Complexity of Function Spaces
• Espaces $K_\sigma$ et espaces des applications continues
• Note on Compact Sets of First Baire Class Functions
• On the Structure of Weakly Compact Subsets of Hilbert Spaces and Applications to the Geometry of Banach Spaces
• Espaces К‐analytiques et espaces de Baire de fonctions continues
• Pointwise Compactness in Spaces of Continuous Functions
• A Note on Gul'ko Compact Spaces
• Lindelof Property in Function Spaces and a Related Selection Theorem
• Topological spaces with dense subspaces that are homeomorphic to complete metric spaces and the classification of C(K) Banach spaces
• Internal characterization of fragmentable spaces
• Generalizations of a Theorem of Namioka
• Radon‐Nikodým compact spaces and fragmentability
• Functional-analytic properties of Corson-compact spaces
• A function space C(K) not weakly homeomorphic to C(K)×C(K)
• On spread and condensations
• A function space C(X) which is weakly Lindelöf but not weakly compactly generated
• Compacite Extremale
• Compacts de fonctions mesurables et filtres non mesurables
• A theorem on the weak topology of C(X) for compact scattered X
• ON THE STRUCTURE OF SPACES OF CONTINUOUS FUNCTIONS AND THEIR COMPLETE PARACOMPACTNESS
• Hereditary m-separability and the hereditary m-Lindelöf property in product spaces and function spaces
• Pointwise Compactness on Extreme Points
• Joint Continuity of Separately Continuous Functions
• On a question of H.H. Corson and some related problems
• On the l-equivalence of metric spaces
• L'Espace des Fonctions Continues d'un Espace Metrique Denombrable
• Linear Topological Classifications of Certain Function Spaces
• On Topological Classification of Function Spaces C p (X) of Low Borel Complexity

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