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Question regarding canonical covering of a locally compact metrizable space

score 74 · Answer 1 · 2023-09-23 19:01:09

74

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Question regarding canonical covering of a locally compact metrizable space

Published on 23 Sep 2023 - 19:01

score 84 · Answer 2 · 2023-09-24 14:01:30

84

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Prove that if a sequence of harmonic function on the open disk converges uniformlyon compact subset of the disk，then the limit is harmonic.

Published on 24 Sep 2023 - 14:01

score 83 · Answer 3 · 2023-09-29 12:14:42

83

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Decomposition of compact subset of a manifold

Published on 29 Sep 2023 - 12:14

score 3.4k · Answer 4 · 2026-03-26 17:33:06

3.4k

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Is there anyone among us who can identify a certain SUS space?

Published on 26 Mar 2026 - 17:33

score 91 · Answer 5 · 2026-02-24 09:55:03

91

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If $\omega_f(y) \subseteq \omega_f(x)$ and $int(\omega_f(y)) \neq \varnothing$ then $\omega_f(y) = \omega_f(x)$

Published on 24 Feb 2026 - 9:55

score 48 · Answer 6 · 2026-04-08 18:49:22

48

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Compact subset inbetween another compact subset

Published on 08 Apr 2026 - 18:49

score 64 · Answer 7 · 2023-10-06 13:34:04

64

Views

Is compact subset of a metric space a compact metric space?

Published on 06 Oct 2023 - 13:34

score 89 · Answer 8 · 2026-03-26 14:43:09

89

Views

Difficulty interpreting and solving Baby Rudin Problem 2.25, and how to optimally progress through Baby Rudin?

Published on 26 Mar 2026 - 14:43

score 26 · Answer 9 · 2023-10-12 03:09:26

26

Views

How to show that complete and pseudocompact implies sequentially compact (in a metric space)?

Published on 12 Oct 2023 - 3:09

score 222 · Answer 10 · 2026-03-29 17:33:45

222

Views

Homeomorphism between Sphere and $[0,1]^2$

Published on 29 Mar 2026 - 17:33

score 170 · Answer 11 · 2026-04-09 06:21:13

170

Views

Metric space that can be written as the finite union of connected subsets but isn't locally connected

Published on 09 Apr 2026 - 6:21

score 15 · Answer 12 · 2026-03-05 06:05:17

15

Views

Boundless of $\nabla_{\theta} \log p_{\theta}$ with $p_{\theta}\in C^{1,1}$

Published on 05 Mar 2026 - 6:05

score 24 · Answer 13 · 2026-03-26 13:51:36

24

Views

When does the Borel $\sigma$-algebra of compact convergence coincide with the product $\sigma$-algebra?

Published on 26 Mar 2026 - 13:51

score 182 · Answer 14 · 2026-03-27 13:01:57

182

Views

The Lebesgue measures of open sets of points of epsilon distance from a compact set converge to the Lebesgue measure of that compact set

Published on 27 Mar 2026 - 13:01

score 173 · Answer 15 · 2026-03-25 12:50:14

173

Views

If $Y$ is a metric space and $f: X \rightarrow Y$ is proper, $f$ is closed

Published on 25 Mar 2026 - 12:50

List Question

Question regarding canonical covering of a locally compact metrizable space

Prove that if a sequence of harmonic function on the open disk converges uniformlyon compact subset of the disk，then the limit is harmonic.

Decomposition of compact subset of a manifold

Is there anyone among us who can identify a certain SUS space?

If $\omega_f(y) \subseteq \omega_f(x)$ and $int(\omega_f(y)) \neq \varnothing$ then $\omega_f(y) = \omega_f(x)$

Compact subset inbetween another compact subset

Is compact subset of a metric space a compact metric space?

Difficulty interpreting and solving Baby Rudin Problem 2.25, and how to optimally progress through Baby Rudin?

How to show that complete and pseudocompact implies sequentially compact (in a metric space)?

Homeomorphism between Sphere and $[0,1]^2$

Metric space that can be written as the finite union of connected subsets but isn't locally connected

Boundless of $\nabla_{\theta} \log p_{\theta}$ with $p_{\theta}\in C^{1,1}$

When does the Borel $\sigma$-algebra of compact convergence coincide with the product $\sigma$-algebra?

The Lebesgue measures of open sets of points of epsilon distance from a compact set converge to the Lebesgue measure of that compact set

If $Y$ is a metric space and $f: X \rightarrow Y$ is proper, $f$ is closed

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