User KP Hart

6 votes

Accepted

Embeddability into $\beta\omega$ and $\omega^*$

answered Mar 9, 2021 at 18:20

6 votes

Does every open set contain a dense $F_{\sigma}$ subset?

answered Sep 14, 2021 at 10:03

6 votes

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Is each Parovichenko compact space homeomorphic to the remainder of a soft compactification of $\mathbb N$?

answered Nov 9, 2018 at 12:59

6 votes

The Stone-Čech compactification of the fixed point set

answered Oct 23, 2018 at 13:12

6 votes

Two definitions of Lebesgue covering dimension

answered Oct 3, 2018 at 12:58

6 votes

Who was the first to propose a formal definition of infinity?

answered Aug 7, 2023 at 10:05

6 votes

$|\mathsf{RO}(X)|$ vs. $|\tau_X|$ for Tychonoff spaces

answered Feb 25, 2022 at 20:24

5 votes

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Points in the Stone Cech compactification are intersection of open sets

answered Feb 18 at 16:41

5 votes

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Is there a metric separable space with the following properties...?

answered Mar 12 at 15:41

5 votes

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Stone-Čech compactification of a Boolean subalgebra of $\{0,1\}^S$

answered Sep 9 at 21:20

5 votes

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Tychonoff-ization and Urysohn (functionally Hausdorff) topological spaces

answered Oct 2, 2019 at 12:10

5 votes

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One-dimensional compacta as projective limits

answered Oct 20, 2019 at 19:31

5 votes

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A problem of non-emptiness of intersections of certain chains of regular open sets

answered Jan 4, 2020 at 20:54

5 votes

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The closure of the set of injective continuous functions

answered Sep 23, 2021 at 20:06

5 votes

Spaces whose interiors of retracts is a base of the topology

answered Nov 14, 2021 at 8:48

5 votes

A question about locally compact spaces

answered Sep 13, 2021 at 6:07

5 votes

Self-homeomorphism of Stone-Čech boundary with an isolated fixed point

answered May 4, 2021 at 18:31

5 votes

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O. Frink's characterization of completely regular spaces

answered May 22, 2021 at 9:34

5 votes

Characterization of Tychonoff spaces in terms of open sets

answered May 18, 2011 at 7:50

5 votes

Relatively countably compact subsets without countably compact closure.

answered Jul 8, 2010 at 9:41

5 votes

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Nonmetrizable uniformities with metrizable topologies

answered Oct 8, 2010 at 18:20

5 votes

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closed subset of weakly lindelof

answered Apr 21, 2012 at 18:18

5 votes

Difference between Laver's and Mathias's forcing

answered May 2, 2012 at 9:08

4 votes

Local convexity of C([a,b])

answered Jun 8, 2012 at 8:59

4 votes

Accepted

Counterexample about Jones lemma with special weak condition.

answered May 4, 2012 at 14:58

4 votes

Is there such a thing as the sigma-completion of a Boolean algebra?

answered Nov 25, 2010 at 9:13

4 votes

A question about disconnecting a Euclidean space or a Hilbert space

answered Aug 27, 2010 at 13:58

4 votes

Accepted

Could $I^X$ be seen as a subspace of $I^{\beta X}$ under the compact-open topology?

answered Jan 9, 2012 at 22:17

4 votes

Connectedness and the real line

answered May 31, 2010 at 9:07

4 votes

Why is the Hahn-Banach theorem so important?

answered May 31, 2010 at 13:22

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213 Answers

Embeddability into $\beta\omega$ and $\omega^*$

Does every open set contain a dense $F_{\sigma}$ subset?

Is each Parovichenko compact space homeomorphic to the remainder of a soft compactification of $\mathbb N$?

The Stone-Čech compactification of the fixed point set

Two definitions of Lebesgue covering dimension

Who was the first to propose a formal definition of infinity?

$|\mathsf{RO}(X)|$ vs. $|\tau_X|$ for Tychonoff spaces

Points in the Stone Cech compactification are intersection of open sets

Is there a metric separable space with the following properties...?

Stone-Čech compactification of a Boolean subalgebra of $\{0,1\}^S$

Tychonoff-ization and Urysohn (functionally Hausdorff) topological spaces

One-dimensional compacta as projective limits

A problem of non-emptiness of intersections of certain chains of regular open sets

The closure of the set of injective continuous functions

Spaces whose interiors of retracts is a base of the topology

A question about locally compact spaces

Self-homeomorphism of Stone-Čech boundary with an isolated fixed point

O. Frink's characterization of completely regular spaces

Characterization of Tychonoff spaces in terms of open sets

Relatively countably compact subsets without countably compact closure.

Nonmetrizable uniformities with metrizable topologies

closed subset of weakly lindelof

Difference between Laver's and Mathias's forcing

Local convexity of C([a,b])

Counterexample about Jones lemma with special weak condition.

Is there such a thing as the sigma-completion of a Boolean algebra?

A question about disconnecting a Euclidean space or a Hilbert space

Could $I^X$ be seen as a subspace of $I^{\beta X}$ under the compact-open topology?

Connectedness and the real line

Why is the Hahn-Banach theorem so important?