Open problems in topology.

DOI10.1016/S0166-8641(03)00183-4zbMath1034.54001OpenAlexW4210752093MaRDI QIDQ1421986

Elliott Pearl

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

Mathematics Subject Classification ID

Proceedings, conferences, collections, etc. pertaining to general topology (54-06)

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 Ma_Countableand_p-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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