List questions from compactness

Published on 09 Dec 2014 - 19:54

613

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One point compactification of $[0,1]\times [0,1)$

Published on 09 Dec 2014 - 20:58

271

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Separability, total boundness and topological equivalence of metrics

Published on 11 Dec 2014 - 0:57

34

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Compact zero-dimensional $T_2$-topologies on $\mathbb{N}$

Published on 11 Dec 2014 - 8:03

217

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If $(X,d)$ is a separable metric space then a metric $d′$ exists that is topologically equivalent to $d$ and such that $(X,d′)$ is totally bounded

Published on 12 Dec 2014 - 0:02

283

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Compact sets closed in Hausdorff spaces without choice?

Published on 31 Mar 2026 - 12:14

156

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Are pseudocompact metric spaces complete?

Published on 12 Dec 2014 - 21:27

237

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A direct proof that a compact metric space is sequentially compact

Published on 13 Dec 2014 - 0:20

225

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Compact $G_\delta$ subsets of locally compact Hausdorff spaces

Published on 13 Dec 2014 - 19:40

728

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Baire sets in locally compact Hausdorff spaces

Published on 14 Dec 2014 - 15:32

86

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If a set is closed, why is that set intersected with a compact set closed?

Published on 14 Dec 2014 - 19:03

833

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defining a topology by its compact sets

Published on 01 Apr 2026 - 19:14

9.9k

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A compact set, which is not closed.

Published on 16 Dec 2014 - 5:23

997

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$\mathbb{N}$ is a Compact Space with the Co-finite Topology?

Published on 17 Dec 2014 - 1:36

70

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Prove that the continuous $f: \mathbb C \to \mathbb R$ has a global max and min

Published on 31 Mar 2026 - 8:10

List Question

Is $C[0,1]$ locally Compact?

One point compactification of $[0,1]\times [0,1)$

Separability, total boundness and topological equivalence of metrics

Compact zero-dimensional $T_2$-topologies on $\mathbb{N}$

If $(X,d)$ is a separable metric space then a metric $d′$ exists that is topologically equivalent to $d$ and such that $(X,d′)$ is totally bounded

Compact sets closed in Hausdorff spaces without choice?

Are pseudocompact metric spaces complete?

A direct proof that a compact metric space is sequentially compact

Compact $G_\delta$ subsets of locally compact Hausdorff spaces

Baire sets in locally compact Hausdorff spaces

If a set is closed, why is that set intersected with a compact set closed?

defining a topology by its compact sets

A compact set, which is not closed.

$\mathbb{N}$ is a Compact Space with the Co-finite Topology?

Prove that the continuous $f: \mathbb C \to \mathbb R$ has a global max and min

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