Open problems in topology.
type: Item
instance of: scholarly article
title: Open problems in topology.
zbMATH Open document ID: 1034.54001
DOI: 10.1016/S0166-8641(03)00183-4
author: Elliott Pearl
published in: Topology and its Applications
publication date: 2004-02-03T00:00:00Z
Mathematics Subject Classification ID: 54-06
zbMATH DE Number: 2037246
MaRDI profile type: Publication
cites work: Essential cohomology of finite groups
cites work: On Banach-Mazur compacta
cites work: Embedding of compacta, stable homotopy groups of spheres, and singularity theory
cites work: Generalized Daverman's problem
cites work: Q4523067
cites work: West’s problem on equivariant hyperspaces and Banach-Mazur compacta
cites work: Q3831671
cites work: Function Spaces of Completely Metrizable Spaces
cites work: Q4872057
cites work: \(K\)-theoretic groups with positioning map and equivariant surgery
cites work: Limits in the uniform ultrafilters
cites work: Q3994998
cites work: Q3784821
cites work: On Collectionwise Normality of Locally Compact, Normal Spaces
cites work: A small Dowker space in ZFC
cites work: A normal screenable nonparacompact space in ZFC
cites work: Dowker spaces and paracompactness questions
cites work: Nonshrinking open covers and K. Morita's duality conjectures
cites work: On a problem of C. H. Dowker
cites work: Characterization of spaces admitting a homotopy dense embedding into a Hilbert manifold
cites work: Q4944064
cites work: Toward a topological classification of convex sets in infinite-dimensional Fréchet spaces
cites work: Universalité forte pour les sous-ensembles totalement bornés. Applications aux espaces $C_{p}(X)$
cites work: Interplay between strongly universal spaces and pairs
cites work: Q4938163
cites work: Characterizations of \((\mathbb{R}^{\infty}, \sigma)\)- or \((Q^{\infty}, \Sigma)\)-manifolds and their applications
cites work: On disjoint Borel uniformizations
cites work: On absolute retracts of ω*
cites work: The dynamics of the Hénon map
cites work: A metric space of A. H. Stone and an example concerning 𝜎-minimal bases
cites work: On the set of points with a dense orbit
cites work: Q4038523
cites work: Affine and homeomorphic embeddings into $\ell ^2$
cites work: Admissibility, homeomorphism extension and the AR-property in topological linear spaces
cites work: Q3682570
cites work: The order type of the set of Pisot numbers
cites work: Q4781758
cites work: The almost-disjointness number may have countable cofinality
cites work: Mutually complementary partial orders
cites work: Partial order complementation graphs
cites work: The number of complements of a topology on \(n\) points is at least \(2^ n\) (except for some special cases)
cites work: Topology of homology manifolds
cites work: One fixed point actions on low-dimensional spheres
cites work: A note on iterated duals of certain topological spaces
cites work: Q4016784
cites work: Q4202139
cites work: Indépendance linéaire et classification topologique des espaces normés
cites work: Un espace métrique linéaire qui n'est pas un rétracte absolu
cites work: Une caractérisation des rétractes absolus de voisinage
cites work: Q5285400
cites work: Q4948113
cites work: Un exemple de sous-groupe additif de l'espace de Hilbert
cites work: Solution to the Schauder fixed point problem
cites work: Applying Coordinate Products to the Topological Identification of Normed Spaces
cites work: Q4314817
cites work: On a question of de Groot and Nishiura
cites work: Weak neighborhoods and Michael-Nagami's question
cites work: Compact-covering maps and $k$-networks
cites work: On \(UV^ n\)-equivalent compacta
cites work: Cohomological dimension of Tychonov spaces
cites work: On the non-productivity of normality in Moore spaces
cites work: Crowded rational ultrafilters
cites work: A CONJECTURE OF KAUFFMAN ON AMPHICHEIRAL ALTERNATING KNOTS
cites work: PL Maps with Manifold Fibers
cites work: Q4839482
cites work: Controls on the plus construction
cites work: Crumpled laminations and manifolds of nonfinite type
cites work: Selections Boreliennes Injectives

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cites work: Compact covering and game determinacy

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cites work: Compact-covering-properties of finite-to-one mappings

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cites work: Two point set extensions- a counterexample

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cites work: ON SETS THAT MEET EVERY HYPERPLANE IN n-SPACE IN AT MOST n POINTS

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cites work: A solution to van Douwen's problem on Bohr topologies

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cites work: Extending Homeomorphisms and Applications to Metric Linear Spaces Without Completeness

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cites work: Q4381348

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cites work: Failure of the Factor Theorem for Borel pre-Hilbert spaces

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cites work: Q4014763

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cites work: Narrow coverings of \(\omega\)-ary product spaces

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cites work: Q5186348

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cites work: Q4284406

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cites work: Star covering properties

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cites work: Q3731595

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cites work: Q4321456

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cites work: More set-theory for topologists

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cites work: On the character of normal non-CWH spaces

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cites work: Two results on special points

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cites work: Remarks on Partitioner Algebras

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cites work: On Closed Subspaces of ω ∗

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cites work: Q4299997

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cites work: Cut Points in Cech-Stone Remainders

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cites work: A new subcontinuum of 𝛽ℝ\ℝ

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cites work: Homogeneity in powers of zero-dimensional first-countable spaces

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cites work: Not all σ-Complete Boolean Algebras are Quotients of Complete Boolean Algebras

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cites work: Two real ultrafilters on \(\omega\)

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cites work: A fibration that does not accept two disjoint many-valued sections

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cites work: On the Failure of the Urysohn-Menger Sum Formula for Cohomological Dimension

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cites work: Light maps and extensional dimension

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cites work: Span and plane separating continua

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cites work: A New Finite Loop Space at the Prime Two

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cites work: Union Theorem for Cohomological Dimension: A Simple Counterexample

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cites work: Cohomological dimension and metrizable spaces. II

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cites work: Universal Cell-Like Maps

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cites work: Function spaces and shape theories

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cites work: Q3660503

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cites work: Spaces Without Cohomological Dimension Preserving Compactifications

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cites work: Infinite dimensional compacta having cohomological dimension two: An application of the Sullivan conjecture

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cites work: CH and first countable, countably compact spaces

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cites work: Gently killing \(S\)-spaces

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cites work: CH with no Ostaszewski spaces

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cites work: Dimension phenomena associated with \(\beta \mathbb N\)-spaces

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cites work: A Moore space with a 𝜎-discrete 𝜋-base which cannot be densely embedded in any Moore space with the Baire property

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cites work: Q4321457

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cites work: Killing normality with a Cohen real

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cites work: Q4852433

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cites work: Countably compact groups from a selective ultrafilter

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cites work: Mal'tsev and retral spaces

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cites work: Homotopically non-trivial additive subgroups of Hilbert spaces

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cites work: Spaces in Which the Nondegenerate Connected Sets Are the Cofinite Sets

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cites work: Q4882380

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cites work: Q4882390

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cites work: Q4952913

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cites work: Forcing and normality

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cites work: Some compact contractible manifolds containing disjoint spines

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cites work: Open mappings looking like projections

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cites work: Q4314121

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cites work: Continuous selections and \(C\)-spaces

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cites work: Detecting codimension one manifold factors with the disjoint homotopies property

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cites work: Every lattice with 1 and 0 is embeddable in the lattice of topologies of some set by an embedding which preserves the 1 and 0

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cites work: On the regularity of homeomorphisms of \(E^n\)

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cites work: Borsuk's index and pointed movability for projective movable continua

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cites work: Ganea's Conjecture on Lusternik-Schnirelmann Category

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cites work: A\(_{\infty}\)-method in Lusternik-Schnirelmann category

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cites work: The converse to the fixed point theorem of P. A. Smith. I

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cites work: On countably compact, locally countable spaces

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cites work: More countably compact, locally countable spaces

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cites work: Convergent Free Sequences in Compact Spaces

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cites work: A counterexample to Borsuk’s conjecture

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cites work: Ideals on \(\omega\) which are obtained from Hausdorff-gaps

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cites work: A noncontractible cell-like compactum whose suspension is contractible

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cites work: The nonexistence of expansive homeomorphisms of Peano continua in the plane

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cites work: Embeddability into the plane and movability on inverse limits of graphs whose shift maps are expansive

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cites work: Refinable maps in the theory of shape

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cites work: On local 1-connectedness of Whitney continua

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cites work: The nonexistence of expansive homeomorphisms of a class of continua which contains all decomposable circle-like continua

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cites work: On the map theorem

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cites work: Reformulating the map color theorem

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cites work: Q4500938

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cites work: Collectionwise Hausdorffness at limit cardinals

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cites work: A conjecture of Barratt-Jones-Mahowald concerning framed manifolds having Kervaire invariant one

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cites work: Δ-Sets

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cites work: A ZFC Dowker space in ℵ_{𝜔+1}: An application of pcf theory to topology

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cites work: On the Complete Invariance Property in Some Uncountable Products

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cites work: A Lindelöf space with no Lindelöf subspace of size $\aleph \textunderscore 1$

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cites work: Q4424991

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cites work: At most 4 topologies can arise from iterating the de Groot dual

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cites work: Finitely Cyclic Homogeneous Continua

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cites work: A Two-Point Set Must be Zero-Dimensional

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cites work: Rim-finite, arc-free subsets of the plane

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cites work: Bohr topologies and partition theorems for vector spaces

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cites work: Reflection and Weakly Collectionwise Hausdorff Spaces

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cites work: Locally compact perfectly normal spaces may all be paracompact

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cites work: Failure of normality in the box product of uncountably many real lines

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cites work: Homogeneity in powers of subspaces of the real line

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cites work: When does the class \([{\mathcal A} \longrightarrow {\mathcal B}]\) consist of continuous domains?

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cites work: Q4037011

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cites work: On linear continuous open surjections of the spaces \(C_ p(X)\)

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cites work: Q4229125

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

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cites work: Certain finite dimensional maps and their application to hyperspaces

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cites work: A generalization of Kelley’s theorem for 𝐶-spaces

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cites work: The space of subcontinua of a 2-dimensional continuum is infinite dimensional

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cites work: Continuous \(L\)-domains

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cites work: The first homotopy group of a finite \(H\)-space

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cites work: mod 3 cohomology algebras of finite \(H\)-spaces

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cites work: Solutions to two problems of J. D. Lawson and M. Mislove

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cites work: Q4365816

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cites work: On topological embeddings of linear metric spaces

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cites work: On Sets which Meet each Line in Exactly Two Points

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cites work: Q4865630

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cites work: Q3998752

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cites work: Open problems in topology

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cites work: Open problems in topology

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cites work: Open problems in topology

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cites work: Open problems in topology

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cites work: Open problems in topology

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cites work: Open problems in topology

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cites work: An Atriodic Simple-4-OD-Like Continuum Which is Not Simple-Triod-Like

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cites work: A Periodic Point Free Homeomorphism of a Tree-Like Continuum

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cites work: A hereditarily indecomposable tree-like continuum without the fixed point property

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cites work: About a problem of Ulam concerning flat sections of manifolds

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cites work: Some of the combinatorics related to Michael’s problem

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cites work: On one fixed point actions on spheres

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cites work: Most standard spheres have smooth one fixed point actions of \(A_ 5\). II

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cites work: Tree-like continua do not admit expansive homeomorphisms

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cites work: Small inductive dimension of completions of metric spaces

Open problems in topology. (cites work)
cites work: Small inductive dimension of completions of metric spaces. II

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cites work: CE-Equivalence, UV k -Equivalence and Dimension of Compacta

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cites work: The Compact Neighborhood Extension Property and Local Equi-Connectedness

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cites work: The AR-property for Roberts’ example of a compact convex set with no extreme points Part 2: Application to the example

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cites work: Q3024385

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cites work: Fixed point sets and tangent bundles of actions on disks and Euclidean spaces

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cites work: Universal spaces in the theory of transfinite dimension, I

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cites work: Exponents and the cohomology of finite groups

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cites work: Corrections to: Fixed point sets of smooth group actions on disks and Euclidean spaces

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cites work: Q4790330

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cites work: Open problems in topology, seventh status report

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cites work: Q5485638

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cites work: On metrizable E with C p ( E ) ≇ C p

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cites work: A homogeneous arcwise connected non-locally-connected curve

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cites work: Martin's Axiom does not imply perfectly normal non-archimedean spaces are metrizable

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cites work: Q4870674

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cites work: Topological density of ccc Boolean algebras–Every cardinality occurs

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cites work: Absorbing spaces for \(C\)-compacta

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cites work: Homogeneous products of spaces

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cites work: An answer to A.D.Wallace’s question about countably compact cancellative semigroups

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cites work: Higher dimensional aposyndetic decompositions

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cites work: Characterizing cohomological dimension: The cohomological dimension of \(A \cup{} B\)

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cites work: Collectionwise Normality in Screenable Spaces

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cites work: A Cyclic Monotonically Normal Space which is not K 0

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cites work: A Cellular Wedge in R 3

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cites work: The Cohomology of the Groups of Order 32

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cites work: Q4893916

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cites work: An alternative proof of Cauty-Geoghegan's characterization of ANRs

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cites work: Q4867285

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cites work: Q4012501

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cites work: Q4696242

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cites work: Q4276159

Open problems in topology. (cites work)
cites work: Q4276160

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cites work: Disjoint spine phenomena in certain contractible \(n\)-manifolds (\(n\geq 5\))

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cites work: Counterexample to a problem of Geoghegan-West

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cites work: Imbeddings into topological groups preserving dimensions

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cites work: A compact Hausdorff topology that is a T1-complement of itself

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cites work: CON(\(\mathfrak u>\mathfrak i\))

Open problems in topology. (cites work)
cites work: Q4375363

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cites work: Q4523075

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cites work: Q4221856

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cites work: The distributivity numbers of $\mathcal {P}(\omega )$/fin and its square

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cites work: PFA Implies all Automorphisms are Trivial

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cites work: Somewhere Trivial Autohomeomorphisms

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cites work: Martin's axiom is consistent with the existence of nowhere trivial automorphisms

Open problems in topology. (cites work)
cites work: Extensions of perfect GO-spaces and $\sigma $-discrete dense sets

Open problems in topology. (cites work)
cites work: A non-metrizable compact linearly ordered topological space, every subspace of which has a 𝜎-minimal base

Open problems in topology. (cites work)
cites work: Q3472838

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cites work: First countable extensions of regular spaces

Open problems in topology. (cites work)
cites work: Paranormal spaces under $\diamondsuit ^{*}$

Open problems in topology. (cites work)
cites work: Lindelöf property and the iterated continuous function spaces

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cites work: The space of composants of an indecomposable continuum

Open problems in topology. (cites work)
cites work: Some results on gaps

Open problems in topology. (cites work)
cites work: Martin's axiom and the transitivity of \(P_{\mathfrak c}\)-points

Open problems in topology. (cites work)
cites work: N ∗ does not Contain an Algebraic and Topological Copy of βN

Open problems in topology. (cites work)
cites work: Q4870678

Open problems in topology. (cites work)
cites work: σ-Centred Forcing and Reflection of (Sub)Metrizability

Open problems in topology. (cites work)
cites work: Perfectly normal non-metrizable non-Archimedean spaces are generalized Souslin lines

Open problems in topology. (cites work)
cites work: No submaximal topology on a countable set is $\mathbf {T}_{\mathbf {1}}$-complementary

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cites work: Partition Problems in Topology

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cites work: Calibres of first countable spaces

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cites work: Q4374686

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cites work: The Wallace Problem: A Counterexample from MaCountableandp-Compactness

Open problems in topology. (cites work)
cites work: Q4955963

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cites work: A group under \(\text{MA}_{\text{countable}}\) whose square is countably compact but whose cube is not

Open problems in topology. (cites work)
cites work: Two Moore manifolds

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cites work: Every Uncountable Abelian Group Admits a Nonnormal Group Topology

Open problems in topology. (cites work)
cites work: On finite-dimensional maps II

Open problems in topology. (cites work)
cites work: Q3808205

Open problems in topology. (cites work)
cites work: The epimorphism problem for Hausdorff topological groups

Open problems in topology. (cites work)
cites work: A note on a question of R. Pol concerning light maps

Open problems in topology. (cites work)
cites work: Q4078809

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cites work: Concerning the spans of certain plane separating continua

Open problems in topology. (cites work)
cites work: Q3994429

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cites work: Group actions and group extensions

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cites work: A space with infinite span and zero surjective span

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cites work: Universal map of \(\sigma\) onto \(\Sigma\) and absorbing sets in the classes of absolute Borelian and projective finite-dimensional spaces

Open problems in topology. (cites work)
cites work: Absorbing sets forn-dimensional spaces in absolute Borel and projective classes

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cites work: Absorbing sets in the Hilbert cube related to cohomological dimension

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cites work: On periodic compact groups

Open problems in topology. (full work available at URL)
full work available at URL: s0166-8641(03)00183-4

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OpenAlex ID: W4210752093