Question

Showing that $O(a)\times O(b)$ is maximal compact in $O(a,b)$

score 44 · Answer 1 · 2026-04-12 11:10:44

44

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Showing that $O(a)\times O(b)$ is maximal compact in $O(a,b)$

Published on 12 Apr 2026 - 11:10

score 3.3k · Answer 2 · 2026-04-13 21:19:57

3.3k

Views

Am I correct in stating that the study of topology is purely theoretical?

Published on 13 Apr 2026 - 21:19

score 191 · Answer 3 · 2026-04-13 12:20:25

191

Views

Compact Space: "every open covering" Vs "an open covering"

Published on 13 Apr 2026 - 12:20

score 71 · Answer 4 · 2026-05-10 17:07:46

71

Views

Countable related question

Published on 10 May 2026 - 17:07

score 345 · Answer 5 · 2026-04-16 14:26:54

345

Views

Any open set in the topology generated by clopen basis.

Published on 16 Apr 2026 - 14:26

score 88 · Answer 6 · 2026-05-16 08:10:12

88

Views

let $S=\{ \frac{1}{m}+\frac{1}{n}:m,n\in \mathbb{N}\} \cup \{0\}$. then $S$ is compact set in $\mathbb{R}$. True or False.

Published on 16 May 2026 - 8:10

score 278 · Answer 7 · 2026-04-11 19:38:23

278

Views

Closed set in topological space generated by sets of the form [a, b).

Published on 11 Apr 2026 - 19:38

score 74 · Answer 8 · 2026-05-16 08:09:28

74

Views

Does locally compact, not nowhere-dense topological subspace always contain open subset?

Published on 16 May 2026 - 8:09

score 304 · Answer 9 · 2026-04-14 13:36:00

304

Views

Topology on the real numbers such that all polynomials are continuous but cosine is not continuous

Published on 14 Apr 2026 - 13:36

score 25 · Answer 10 · 2026-04-14 22:07:28

25

Views

Let X be a space of Peano and $x \in X$ a point that is not cutting.

Published on 14 Apr 2026 - 22:07

score 207 · Answer 11 · 2026-04-16 10:48:30

207

Views

The discrete distance is thiner then any distance

Published on 16 Apr 2026 - 10:48

score 39 · Answer 12 · 2026-04-13 19:15:42

Is it true that, given a set E, every point in the set of boundary points of E is an accumulation point of the set of boundary points?

score 456 · Answer 13 · 2026-04-16 08:35:44

456

Views

Prove that $C^{\infty}_b(\mathbb{R}^{n})$ is dense in $C_{b}(\mathbb{R}^{n})$ using generic functions.

Published on 16 Apr 2026 - 8:35

score 110 · Answer 14 · 2026-04-11 21:29:37

110

Views

A topology question on circle

Published on 11 Apr 2026 - 21:29

score 976 · Answer 15 · 2026-04-11 09:48:56

976

Views

Helly's Selection Principle

Published on 11 Apr 2026 - 9:48

List Question

Showing that $O(a)\times O(b)$ is maximal compact in $O(a,b)$

Am I correct in stating that the study of topology is purely theoretical?

Compact Space: "every open covering" Vs "an open covering"

Countable related question

Any open set in the topology generated by clopen basis.

let $S=\{ \frac{1}{m}+\frac{1}{n}:m,n\in \mathbb{N}\} \cup \{0\}$. then $S$ is compact set in $\mathbb{R}$. True or False.

Closed set in topological space generated by sets of the form [a, b).

Does locally compact, not nowhere-dense topological subspace always contain open subset?

Topology on the real numbers such that all polynomials are continuous but cosine is not continuous

Let X be a space of Peano and $x \in X$ a point that is not cutting.

The discrete distance is thiner then any distance

Is it true that, given a set E, every point in the set of boundary points of E is an accumulation point of the set of boundary points?

Prove that $C^{\infty}_b(\mathbb{R}^{n})$ is dense in $C_{b}(\mathbb{R}^{n})$ using generic functions.

A topology question on circle

Helly's Selection Principle

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