Open problems in topology, seventh status report

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Open problems in topology.

Cites Work

Applications of maximal topologies
A noncontractible cell-like compactum whose suspension is contractible
On one fixed point actions on spheres
A conjecture of Barratt-Jones-Mahowald concerning framed manifolds having Kervaire invariant one
One fixed point actions on low-dimensional spheres
A technique for constructing honest locally compact submetrizable examples
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
Some results on gaps
$K$-theoretic groups with positioning map and equivariant surgery
On topological embeddings of linear metric 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
Homogeneous products of 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
A note on iterated duals of certain topological spaces
Crowded rational ultrafilters
Most standard spheres have smooth one fixed point actions of $A_ 5$. II
Continuous $L$-domains
CH and first countable, countably compact spaces
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
Infinite dimensional compacta having cohomological dimension two: An application of the Sullivan conjecture
On the structure of $n$-point sets
The converse to the fixed point theorem of P. A. Smith. I
On the regularity of homeomorphisms of $E^n$
Limits in the uniform ultrafilters
A homogeneous arcwise connected non-locally-connected curve
ON SETS THAT MEET EVERY HYPERPLANE IN n-SPACE IN AT MOST n POINTS
Collectionwise Normality in Screenable Spaces
A Countably Compact Topological Group H Such that H × H is not Countably Compact
Homogeneity in powers of subspaces of the real line
Extensions of perfect GO-spaces and $\sigma $-discrete dense sets
Homotopically non-trivial additive subgroups of Hilbert spaces
The Banach-Mazur compactum is not homeomorphic to the Hilbert cube
CH with no Ostaszewski spaces
Some of the combinatorics related to Michael’s problem
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
On absolute retracts of ω*
Un espace métrique linéaire qui n'est pas un rétracte absolu
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 1: General result
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
A normal screenable nonparacompact space in ZFC
A metric space of A. H. Stone and an example concerning 𝜎-minimal bases
A ZFC Dowker space in ℵ_{𝜔+1}: An application of pcf theory to topology
Un exemple de sous-groupe additif de l'espace de Hilbert
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
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
An answer to A.D.Wallace’s question about countably compact cancellative semigroups
A small Dowker space in ZFC
Small inductive dimension of completions of metric spaces. II
The distributivity numbers of $\mathcal {P}(\omega )$/fin and its square
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
The Banach-Mazur compactum $Q(n)$ is an absolute retract
A solution to van Douwen's problem on Bohr topologies
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