Open problems in topology.
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Publication:1421986
DOI10.1016/S0166-8641(03)00183-4zbMath1034.54001OpenAlexW4210752093MaRDI QIDQ1421986
Publication date: 3 February 2004
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0166-8641(03)00183-4
Related Items (4)
A metrizable \(X\) with \(C_p(X)\) not homeomorphic to \(C_p(X) \times C_p(X)\) ⋮ Michael spaces and ultrafilters ⋮ Eberlein oligomorphic groups ⋮ Negating the Galvin property
Cites Work
- The Free Abelian Topological Group and the Free Locally Convex Space on the Unit Interval
- Un exemple de sous-groupe additif de l'espace de Hilbert
- Higher dimensional aposyndetic decompositions
- Two results on special points
- Perfectly normal non-metrizable non-Archimedean spaces are generalized Souslin lines
- Interplay between strongly universal spaces and pairs
- On the set of points with a dense orbit
- Embedding of compacta, stable homotopy groups of spheres, and singularity theory
- Tree-like continua do not admit expansive homeomorphisms
- Topology of homology manifolds
- Paranormal spaces under $\diamondsuit ^{*}$
- A hereditarily indecomposable tree-like continuum without the fixed point property
- No submaximal topology on a countable set is $\mathbf {T}_{\mathbf {1}}$-complementary
- N ∗ does not Contain an Algebraic and Topological Copy of βN
- Failure of the Factor Theorem for Borel pre-Hilbert spaces
- A compact Hausdorff topology that is a T1-complement of itself
- Compact-covering maps and $k$-networks
- The almost-disjointness number may have countable cofinality
- West’s problem on equivariant hyperspaces and Banach-Mazur compacta
- First countable extensions of regular spaces
- Countably compact groups from a selective ultrafilter
- On metrizable E with C p ( E ) ≇ C p ( E ) × C p ( E )
- An answer to A.D.Wallace’s question about countably compact cancellative semigroups
- Counterexample to a problem of Geoghegan-West
- Failure of normality in the box product of uncountably many real lines
- Refinable maps in the theory of shape
- A Periodic Point Free Homeomorphism of a Tree-Like Continuum
- Cohomological dimension and metrizable spaces. II
- On local 1-connectedness of Whitney continua
- A small Dowker space in ZFC
- Crumpled laminations and manifolds of nonfinite type
- Small inductive dimension of completions of metric spaces. II
- The distributivity numbers of $\mathcal {P}(\omega )$/fin and its square
- A generalization of Kelley’s theorem for 𝐶-spaces
- Group actions and group extensions
- Exponents and the cohomology of finite groups
- Affine and homeomorphic embeddings into $\ell ^2$
- Open problems in topology
- Open problems in topology
- Open problems in topology
- Open problems in topology
- Open problems in topology
- Open problems in topology
- Toward a topological classification of convex sets in infinite-dimensional Fréchet spaces
- On the map theorem
- A space with infinite span and zero surjective span
- Open problems in topology, seventh status report
- Dowker spaces and paracompactness questions
- Nonshrinking open covers and K. Morita's duality conjectures
- A solution to van Douwen's problem on Bohr topologies
- Detecting codimension one manifold factors with the disjoint homotopies property
- On the character of normal non-CWH spaces
- Two Moore manifolds
- Martin's axiom and the transitivity of \(P_{\mathfrak c}\)-points
- mod 3 cohomology algebras of finite \(H\)-spaces
- A noncontractible cell-like compactum whose suspension is contractible
- The nonexistence of expansive homeomorphisms of Peano continua in the plane
- A fibration that does not accept two disjoint many-valued sections
- On one fixed point actions on spheres
- The dynamics of the Hénon map
- On \(UV^ n\)-equivalent compacta
- Imbeddings into topological groups preserving dimensions
- More countably compact, locally countable spaces
- A conjecture of Barratt-Jones-Mahowald concerning framed manifolds having Kervaire invariant one
- On countably compact, locally countable spaces
- One fixed point actions on low-dimensional spheres
- Characterizing cohomological dimension: The cohomological dimension of \(A \cup{} B\)
- Embeddability into the plane and movability on inverse limits of graphs whose shift maps are expansive
- Ideals on \(\omega\) which are obtained from Hausdorff-gaps
- CON(\(\mathfrak u>\mathfrak i\))
- Admissibility, homeomorphism extension and the AR-property in topological linear spaces
- Certain finite dimensional maps and their application to hyperspaces
- A group under \(\text{MA}_{\text{countable}}\) whose square is countably compact but whose cube is not
- Bohr topologies and partition theorems for vector spaces
- Characterization of spaces admitting a homotopy dense embedding into a Hilbert manifold
- Forcing and normality
- Absorbing spaces for \(C\)-compacta
- Borsuk's index and pointed movability for projective movable continua
- The first homotopy group of a finite \(H\)-space
- Some results on gaps
- Open mappings looking like projections
- \(K\)-theoretic groups with positioning map and equivariant surgery
- The epimorphism problem for Hausdorff topological groups
- Calibres of first countable spaces
- Partial order complementation graphs
- Some compact contractible manifolds containing disjoint spines
- Essential cohomology of finite groups
- On topological embeddings of linear metric spaces
- Cohomological dimension of Tychonov spaces
- Light maps and extensional dimension
- Mal'tsev and retral spaces
- Absorbing sets in the Hilbert cube related to cohomological dimension
- Narrow coverings of \(\omega\)-ary product spaces
- Compact-covering-properties of finite-to-one mappings
- On linear continuous open surjections of the spaces \(C_ p(X)\)
- Homogeneous products of spaces
- On finite-dimensional maps II
- Gently killing \(S\)-spaces
- A note on a question of R. Pol concerning light maps
- 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
- Characterizations of \((\mathbb{R}^{\infty}, \sigma)\)- or \((Q^{\infty}, \Sigma)\)-manifolds and their applications
- The space of composants of an indecomposable continuum
- A\(_{\infty}\)-method in Lusternik-Schnirelmann category
- A note on iterated duals of certain topological spaces
- Disjoint spine phenomena in certain contractible \(n\)-manifolds (\(n\geq 5\))
- An alternative proof of Cauty-Geoghegan's characterization of ANRs
- On periodic compact groups
- On disjoint Borel uniformizations
- Crowded rational ultrafilters
- Two real ultrafilters on \(\omega\)
- Most standard spheres have smooth one fixed point actions of \(A_ 5\). II
- Star covering properties
- Continuous \(L\)-domains
- CH and first countable, countably compact spaces
- Generalized Daverman's problem
- Rim-finite, arc-free subsets of the plane
- Dimension phenomena associated with \(\beta \mathbb N\)-spaces
- When does the class \([{\mathcal A} \longrightarrow {\mathcal B}\) consist of continuous domains?]
- At most 4 topologies can arise from iterating the de Groot dual
- More set-theory for topologists
- Universal map of \(\sigma\) onto \(\Sigma\) and absorbing sets in the classes of absolute Borelian and projective finite-dimensional spaces
- Compact covering and game determinacy
- The order type of the set of Pisot numbers
- Solutions to two problems of J. D. Lawson and M. Mislove
- Fixed point sets and tangent bundles of actions on disks and Euclidean spaces
- Corrections to: Fixed point sets of smooth group actions on disks and Euclidean spaces
- Topology of homology manifolds
- The number of complements of a topology on \(n\) points is at least \(2^ n\) (except for some special cases)
- Controls on the plus construction
- Killing normality with a Cohen real
- Mutually complementary partial orders
- Infinite dimensional compacta having cohomological dimension two: An application of the Sullivan conjecture
- The converse to the fixed point theorem of P. A. Smith. I
- Reformulating the map color theorem
- About a problem of Ulam concerning flat sections of manifolds
- On the regularity of homeomorphisms of \(E^n\)
- Martin’s Axiom does not imply perfectly normal non-archimedean spaces are metrizable
- On Banach-Mazur compacta
- Limits in the uniform ultrafilters
- Continuous selections and $C$-spaces
- Solution du problème de point fixe de Schauder
- On a question of de Groot and Nishiura
- Function spaces and shape theories
- Martin’s Axiom is consistent with the existence of nowhere trivial automorphisms
- PFA Implies all Automorphisms are Trivial
- Extending Homeomorphisms and Applications to Metric Linear Spaces Without Completeness
- Locally compact perfectly normal spaces may all be paracompact
- An Atriodic Simple-4-OD-Like Continuum Which is Not Simple-Triod-Like
- A counterexample to Borsuk’s conjecture
- A Cyclic Monotonically Normal Space which is not K 0
- Δ-Sets
- A homogeneous arcwise connected non-locally-connected curve
- ON SETS THAT MEET EVERY HYPERPLANE IN n-SPACE IN AT MOST n POINTS
- CE-Equivalence, UV k -Equivalence and Dimension of Compacta
- PL Maps with Manifold Fibers
- Selections Boreliennes Injectives
- The Cohomology of the Groups of Order 32
- Collectionwise Normality in Screenable Spaces
- On Collectionwise Normality of Locally Compact, Normal Spaces
- A Cellular Wedge in R 3
- Remarks on Partitioner Algebras
- Spaces Without Cohomological Dimension Preserving Compactifications
- Finitely Cyclic Homogeneous Continua
- On a problem of C. H. Dowker
- Collectionwise Hausdorffness at limit cardinals
- A Two-Point Set Must be Zero-Dimensional
- On the Complete Invariance Property in Some Uncountable Products
- Not all σ-Complete Boolean Algebras are Quotients of Complete Boolean Algebras
- Convergent Free Sequences in Compact Spaces
- A New Finite Loop Space at the Prime Two
- Partition Problems in Topology
- Applying Coordinate Products to the Topological Identification of Normed Spaces
- Homogeneity in powers of subspaces of the real line
- Extensions of perfect GO-spaces and $\sigma $-discrete dense sets
- On the non-productivity of normality in Moore spaces
- Homotopically non-trivial additive subgroups of Hilbert spaces
- CH with no Ostaszewski spaces
- Some of the combinatorics related to Michael’s problem
- Topological density of ccc Boolean algebras–Every cardinality occurs
- A non-metrizable compact linearly ordered topological space, every subspace of which has a 𝜎-minimal base
- A Moore space with a 𝜎-discrete 𝜋-base which cannot be densely embedded in any Moore space with the Baire property
- On Sets which Meet each Line in Exactly Two Points
- Ganea's Conjecture on Lusternik-Schnirelmann Category
- Lindelöf property and the iterated continuous function spaces
- On Closed Subspaces of ω ∗
- Function Spaces of Completely Metrizable Spaces
- On the Failure of the Urysohn-Menger Sum Formula for Cohomological Dimension
- The Compact Neighborhood Extension Property and Local Equi-Connectedness
- Union Theorem for Cohomological Dimension: A Simple Counterexample
- σ-Centred Forcing and Reflection of (Sub)Metrizability
- Somewhere Trivial Autohomeomorphisms
- Reflection and Weakly Collectionwise Hausdorff Spaces
- On absolute retracts of ω*
- Une caractérisation des rétractes absolus de voisinage
- Universal spaces in the theory of transfinite dimension, I
- Every Uncountable Abelian Group Admits a Nonnormal Group Topology
- Spaces in Which the Nondegenerate Connected Sets Are the Cofinite Sets
- Universal Cell-Like Maps
- Indépendance linéaire et classification topologique des espaces normés
- Un espace métrique linéaire qui n'est pas un rétracte absolu
- Cut Points in Cech-Stone Remainders
- A Lindelöf space with no Lindelöf subspace of size $\aleph \textunderscore 1$
- Small inductive dimension of completions of metric spaces
- A new subcontinuum of 𝛽ℝ\ℝ
- Universalité forte pour les sous-ensembles totalement bornés. Applications aux espaces $C_{p}(X)$
- The Wallace Problem: A Counterexample from MaCountableandp-Compactness
- The AR-property for Roberts’ example of a compact convex set with no extreme points Part 2: Application to the example
- Absorbing sets forn-dimensional spaces in absolute Borel and projective classes
- Two point set extensions- a counterexample
- Homogeneity in powers of zero-dimensional first-countable spaces
- The space of subcontinua of a 2-dimensional continuum is infinite dimensional
- The nonexistence of expansive homeomorphisms of a class of continua which contains all decomposable circle-like continua
- A normal screenable nonparacompact space in ZFC
- A metric space of A. H. Stone and an example concerning 𝜎-minimal bases
- A CONJECTURE OF KAUFFMAN ON AMPHICHEIRAL ALTERNATING KNOTS
- A ZFC Dowker space in ℵ_{𝜔+1}: An application of pcf theory to topology
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