Question

$T_1$ spaces where the closure of a compact set is not compact

score 137 · Answer 1 · 2026-04-03 09:13:00

137

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$T_1$ spaces where the closure of a compact set is not compact

Published on 03 Apr 2026 - 9:13

score 436 · Answer 2 · 2026-03-27 16:25:13

436

Views

Homeomorphism from the coset space $G/G_x$ to the orbit $xG$

Published on 27 Mar 2026 - 16:25

score 231 · Answer 3 · 2026-03-25 19:10:46

231

Views

Net compactness and relative compactness

Published on 25 Mar 2026 - 19:10

score 57 · Answer 4 · 2020-05-19 16:09:43

57

Views

Proving Compactness of a Set of Trapped Energies

Published on 19 May 2020 - 16:09

score 54 · Answer 5 · 2020-05-19 23:27:13

54

Views

A stricter condition of Dini's Theorem

Published on 19 May 2020 - 23:27

score 177 · Answer 6 · 2020-05-20 08:51:05

177

Views

Let $f:X\to Y$ be a map between first countable Hausdorff spaces s.t. $f^{-1}(K)$ is compact, for all compact $K\subset Y$. Show that $f$ is closed.

Published on 20 May 2020 - 8:51

score 97 · Answer 7 · 2020-05-20 19:50:09

97

Views

Help with understanding of compact support on function with finite integral

Published on 20 May 2020 - 19:50

score 137 · Answer 8 · 2020-05-20 20:40:17

137

Views

Not every compact subset of $\mathbb{R}$ is the support of a continuous function

Published on 20 May 2020 - 20:40

score 540 · Answer 9 · 2026-03-26 02:57:50

540

Views

Prob. 7 (a), Sec. 31, in Munkres' TOPOLOGY, 2nd ed: The image of a Hausdorff space under a perfect map is also a Hausdorff space

Published on 26 Mar 2026 - 2:57

score 335 · Answer 10 · 2026-03-26 03:01:43

335

Views

Prob. 7 (b), Sec. 31, in Munkres' TOPOLOGY, 2nd ed: The image of a regular space under a perfect map is also a regular space

Published on 26 Mar 2026 - 3:01

score 640 · Answer 11 · 2020-05-22 05:21:41

640

Views

Minimal number of balls in a cover of a compact set

Published on 22 May 2020 - 5:21

score 186 · Answer 12 · 2020-05-22 05:55:45

186

Views

How to Motivate Open-Cover Formulation of Compactness in a Metric Space?

Published on 22 May 2020 - 5:55

score 148 · Answer 13 · 2020-05-22 10:44:40

148

Views

Prob. 7 (c), Sec. 31, in Munkres' TOPOLOGY, 2nd ed: The image of a locally compact space under a perfect map is also a locally compact space

Published on 22 May 2020 - 10:44

score 240 · Answer 14 · 2020-05-23 05:04:44

240

Views

The direct limit of a sequence of compact normal spaces is regular

Published on 23 May 2020 - 5:04

score 114 · Answer 15 · 2020-05-23 09:01:01

114

Views

Generalization of Kolmogorov precompactness criterion

Published on 23 May 2020 - 9:01

List Question

$T_1$ spaces where the closure of a compact set is not compact

Homeomorphism from the coset space $G/G_x$ to the orbit $xG$

Net compactness and relative compactness

Proving Compactness of a Set of Trapped Energies

A stricter condition of Dini's Theorem

Let $f:X\to Y$ be a map between first countable Hausdorff spaces s.t. $f^{-1}(K)$ is compact, for all compact $K\subset Y$. Show that $f$ is closed.

Help with understanding of compact support on function with finite integral

Not every compact subset of $\mathbb{R}$ is the support of a continuous function

Prob. 7 (a), Sec. 31, in Munkres' TOPOLOGY, 2nd ed: The image of a Hausdorff space under a perfect map is also a Hausdorff space

Prob. 7 (b), Sec. 31, in Munkres' TOPOLOGY, 2nd ed: The image of a regular space under a perfect map is also a regular space

Minimal number of balls in a cover of a compact set

How to Motivate Open-Cover Formulation of Compactness in a Metric Space?

Prob. 7 (c), Sec. 31, in Munkres' TOPOLOGY, 2nd ed: The image of a locally compact space under a perfect map is also a locally compact space

The direct limit of a sequence of compact normal spaces is regular

Generalization of Kolmogorov precompactness criterion

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