User KP Hart

4 votes

A connected subset in the plane without arcs

answered Dec 30, 2019 at 22:49

4 votes

What can say about $2^X= \{A\subseteq X: A\text{ is closed set} \}$, when $(X, \mathcal{U})$ is a compact uniform space?

answered Dec 30, 2018 at 22:10

4 votes

Accepted

Under what conditions the End-compactification is metrizable

answered Nov 21, 2018 at 9:11

4 votes

Is every uncountable, homogeneous connected $T_2$-space isomorphic to a subspace of $\mathbb{R}^\omega$?

answered Nov 6, 2018 at 9:02

4 votes

Accepted

A question on monotonically normal spaces

answered Oct 17, 2018 at 19:31

4 votes

Accepted

Copy of $P(\omega)/\mathrm{fin}$ on $\omega_1$

answered Jun 24 at 13:12

4 votes

Accepted

Strong ultralimits?

answered Nov 20 at 10:59

4 votes

Accepted

Simplified method of building an Aronszajn tree

answered Mar 19 at 10:45

4 votes

Accepted

Extremally disconnected rigid infinite Hausdorff compacta(?)

answered Aug 16, 2023 at 21:29

4 votes

Stone-Čech boundary is not extremally disconnected

answered Aug 17, 2023 at 9:10

4 votes

Accepted

Must US extremally disconnected spaces be sequentially discrete?

answered Aug 18, 2023 at 11:49

4 votes

Accepted

Posets such that the collection of principal down-sets does not have property ${\bf B}$

answered Aug 7, 2023 at 17:23

4 votes

Does there exist a star-Lindelöf space which is not DCCC?

answered Mar 7, 2022 at 10:58

4 votes

Stone-Cech compactification of $\mathbb{R}^n$ and smooth functions

answered Oct 22, 2021 at 19:41

3 votes

Accepted

Subsets of the Cantor set

answered Mar 7, 2022 at 11:25

3 votes

Posets such that the collection of principal down-sets does not have property ${\bf B}$

answered Aug 9, 2023 at 19:05

3 votes

Accepted

Stone–Čech compactification and an ultrafilter of regular closed sets

answered Aug 10, 2023 at 17:57

3 votes

Accepted

A a question about the metrization of uniform spaces

answered Feb 28, 2023 at 20:55

3 votes

Extending maps from a discrete set to a Stone-Čech compactification while retaining an injectivity condition

answered Oct 11, 2023 at 16:48

3 votes

Accepted

Relation between $\mathbb{R}$ and the metric space of bounded functions $f:\mathbb{N}\to\mathbb{N}$

answered Nov 23 at 16:47

3 votes

$\bf2$-Stone-Čech compactification of a product of topological spaces

answered Oct 4 at 8:43

3 votes

Questions on continuum hypothesis

answered Oct 16 at 8:44

3 votes

Accepted

LCH spaces $X$ such that if $Y$ is a perfect image of $X$, then $Y$ is zero-dimensional

answered Nov 9 at 15:26

3 votes

Accepted

Sieve for an infinite array of sets, resulting in an array of the same size of pairwise disjoint sets

answered Jul 3 at 16:01

3 votes

Accepted

The separability of superextensions

answered Feb 11 at 11:26

3 votes

Accepted

Is the topology generated by the union of a chain of paracompact topologies paracompact?

answered Oct 24, 2018 at 8:16

3 votes

Accepted

Is there a generalized order space $X$ with countable tightness which is not first countable?

answered Oct 14, 2018 at 20:47

3 votes

Accepted

A sequence in generalized order spaces

answered Oct 10, 2018 at 10:19

3 votes

Accepted

Generalizing the $T_0$-axiom

answered Oct 11, 2018 at 18:04

3 votes

Paracompact zero-dimensional space without clopen partition refinement

answered Oct 4, 2018 at 10:45

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213 Answers

A connected subset in the plane without arcs

What can say about $2^X= \{A\subseteq X: A\text{ is closed set} \}$, when $(X, \mathcal{U})$ is a compact uniform space?

Under what conditions the End-compactification is metrizable

Is every uncountable, homogeneous connected $T_2$-space isomorphic to a subspace of $\mathbb{R}^\omega$?

A question on monotonically normal spaces

Copy of $P(\omega)/\mathrm{fin}$ on $\omega_1$

Strong ultralimits?

Simplified method of building an Aronszajn tree

Extremally disconnected rigid infinite Hausdorff compacta(?)

Stone-Čech boundary is not extremally disconnected

Must US extremally disconnected spaces be sequentially discrete?

Posets such that the collection of principal down-sets does not have property ${\bf B}$

Does there exist a star-Lindelöf space which is not DCCC?

Stone-Cech compactification of $\mathbb{R}^n$ and smooth functions

Subsets of the Cantor set

Posets such that the collection of principal down-sets does not have property ${\bf B}$

Stone–Čech compactification and an ultrafilter of regular closed sets

A a question about the metrization of uniform spaces

Extending maps from a discrete set to a Stone-Čech compactification while retaining an injectivity condition

Relation between $\mathbb{R}$ and the metric space of bounded functions $f:\mathbb{N}\to\mathbb{N}$

$\bf2$-Stone-Čech compactification of a product of topological spaces

Questions on continuum hypothesis

LCH spaces $X$ such that if $Y$ is a perfect image of $X$, then $Y$ is zero-dimensional

Sieve for an infinite array of sets, resulting in an array of the same size of pairwise disjoint sets

The separability of superextensions

Is the topology generated by the union of a chain of paracompact topologies paracompact?

Is there a generalized order space $X$ with countable tightness which is not first countable?

A sequence in generalized order spaces

Generalizing the $T_0$-axiom

Paracompact zero-dimensional space without clopen partition refinement