Open problems in topology, seventh status report (Q5939254)

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scientific article; zbMATH DE number 1625438

Language	Label	Description	Also known as
English	Open problems in topology, seventh status report	scientific article; zbMATH DE number 1625438

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scholarly article

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Open problems in topology, seventh status report (English)

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zbMATH Open document ID

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10.1016/S0166-8641(01)00088-8

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Topology and its Applications

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publication date

29 July 2001

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Mathematics Subject Classification ID

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zbMATH DE Number

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MaRDI profile type

MaRDI publication profile

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The Banach-Mazur compactum is not homeomorphic to the Hilbert cube

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The Banach-Mazur compactum \(Q(n)\) is an absolute retract

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\(K\)-theoretic groups with positioning map and equivariant surgery

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Limits in the uniform ultrafilters

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A small Dowker space in ZFC

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A normal screenable nonparacompact space in ZFC

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Characterization of spaces admitting a homotopy dense embedding into a Hilbert manifold

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Toward a topological classification of convex sets in infinite-dimensional Fréchet spaces

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Universalité forte pour les sous-ensembles totalement bornés. Applications aux espaces $C_{p}(X)$

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Interplay between strongly universal spaces and pairs

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Characterizations of \((\mathbb{R}^{\infty}, \sigma)\)- or \((Q^{\infty}, \Sigma)\)-manifolds and their applications

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On absolute retracts of ω*

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A metric space of A. H. Stone and an example concerning 𝜎-minimal bases

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On the set of points with a dense orbit

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On the structure of \(n\)-point sets

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One fixed point actions on low-dimensional spheres

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A note on iterated duals of certain topological spaces

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Un espace métrique linéaire qui n'est pas un rétracte absolu

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Un exemple de sous-groupe additif de l'espace de Hilbert

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Crowded rational ultrafilters

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Two point set extensions- a counterexample

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ON SETS THAT MEET EVERY HYPERPLANE IN <i>n</i>-SPACE IN AT MOST <i>n</i> POINTS

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A solution to van Douwen's problem on Bohr topologies

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Narrow coverings of \(\omega\)-ary product spaces

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A new subcontinuum of 𝛽ℝ\ℝ

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Homogeneity in powers of zero-dimensional first-countable spaces

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A technique for constructing honest locally compact submetrizable examples

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Applications of maximal topologies

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Light maps and extensional dimension

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

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CH and first countable, countably compact spaces

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CH with no Ostaszewski spaces

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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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Mal'tsev and retral spaces

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Homotopically non-trivial additive subgroups of Hilbert spaces

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Forcing and normality

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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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A Countably Compact Topological Group H Such that H × H is not Countably Compact

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On the regularity of homeomorphisms of \(E^n\)

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

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A noncontractible cell-like compactum whose suspension is contractible

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

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

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Bohr topologies and partition theorems for vector spaces

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Homogeneity in powers of subspaces of the real line

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

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Continuous \(L\)-domains

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On topological embeddings of linear metric spaces

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On Sets which Meet each Line in Exactly Two Points

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Open problems in topology

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Open problems in topology

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Open problems in topology

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Open problems in topology

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Open problems in topology

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Open problems in topology

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

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Some of the combinatorics related to Michael’s problem

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On one fixed point actions on spheres

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

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Small inductive dimension of completions of metric spaces

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Small inductive dimension of completions of metric spaces. II

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The AR-property for Roberts’ example of a compact convex set with no extreme points Part 1: General result

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

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

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A homogeneous arcwise connected non-locally-connected curve

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Absorbing spaces for \(C\)-compacta

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Homogeneous products of spaces

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

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Collectionwise Normality in Screenable Spaces

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

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Extensions of perfect GO-spaces and $\sigma $-discrete dense sets

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A non-metrizable compact linearly ordered topological space, every subspace of which has a 𝜎-minimal base

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Paranormal spaces under $\diamondsuit ^{*}$

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Some results on gaps

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Perfectly normal non-metrizable non-Archimedean spaces are generalized Souslin lines

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No submaximal topology on a countable set is $\mathbf {T}_{\mathbf {1}}$-complementary

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The Wallace Problem: A Counterexample from Ma<sub>Countable</sub>and<sub>p</sub>-Compactness

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

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A note on a question of R. Pol concerning light maps

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Absorbing sets for<i>n</i>-dimensional spaces in absolute Borel and projective classes

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Absorbing sets in the Hilbert cube related to cohomological dimension

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Mathematics(1 entry)

mardi Publication:5939254

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