Question

Prove that the set of limit points (derived set) is closed

score 2.2k · Answer 1 · 2026-04-16 03:46:00

2.2k

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Prove that the set of limit points (derived set) is closed

Published on 16 Apr 2026 - 3:46

score 86 · Answer 2 · 2026-04-13 20:30:21

86

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Homeomorphism between sets

Published on 13 Apr 2026 - 20:30

score 1.3k · Answer 3 · 2026-04-11 16:44:29

1.3k

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Definition of a geometric simplicial complex

Published on 11 Apr 2026 - 16:44

score 177 · Answer 4 · 2026-05-05 05:46:00

177

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Example of an infinite subset of $[0,1]^{\mathbb{N}}$ with the uniform topology that does not have a limit point

Published on 05 May 2026 - 5:46

score 33 · Answer 5 · 2026-04-16 16:07:13

Connectedness $A= \left\{ (x,mx) \mid m \in \mathbb{N}, x \in [ 0 , 1 ] \right\} \cup \left\{ (x,-mx) \mid m \in \mathbb{N}, x \in (0 , 1) \right\}$

score 116 · Answer 6 · 2026-05-10 22:04:33

116

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Prove that the function $f:X\to I=[0,1]$ by $f(x)=\min\{\frac{d(x,C)}{d(p,C)},1\}$ is continuous on $X$.

Published on 10 May 2026 - 22:04

score 108 · Answer 7 · 2026-04-17 04:29:10

108

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Difference between basis and sub basis of a topological space.

Published on 17 Apr 2026 - 4:29

score 1.7k · Answer 8 · 2026-04-12 01:48:04

1.7k

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Example of bijective continuous function that is not homeomorphism

Published on 12 Apr 2026 - 1:48

score 56 · Answer 9 · 2026-05-10 16:33:47

56

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$X$ is connected and separable. $X=Y\times Y$. Does $Y$ has to be also connected and separable?

Published on 10 May 2026 - 16:33

score 1.7k · Answer 10 · 2026-04-16 04:41:13

1.7k

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Too much long line

Published on 16 Apr 2026 - 4:41

score 315 · Answer 11 · 2026-04-14 11:42:01

315

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Does Cauchy Completeness imply the Heine-Borel theorem generally?

Published on 14 Apr 2026 - 11:42

score 361 · Answer 12 · 2026-05-11 00:28:23

361

Views

Homeomorphism from punctured sphere to horn torus

Published on 11 May 2026 - 0:28

score 173 · Answer 13 · 2026-04-15 05:35:50

173

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Topology: Question on why this is a closed set

Published on 15 Apr 2026 - 5:35

score 62 · Answer 14 · 2026-05-05 06:43:44

62

Views

general topology, subsets and limit points

Published on 05 May 2026 - 6:43

score 210 · Answer 15 · 2026-04-11 18:44:44

210

Views

How to show that $E$ is closed.

Published on 11 Apr 2026 - 18:44

List Question

Prove that the set of limit points (derived set) is closed

Homeomorphism between sets

Definition of a geometric simplicial complex

Example of an infinite subset of $[0,1]^{\mathbb{N}}$ with the uniform topology that does not have a limit point

Connectedness $A= \left\{ (x,mx) \mid m \in \mathbb{N}, x \in [ 0 , 1 ] \right\} \cup \left\{ (x,-mx) \mid m \in \mathbb{N}, x \in (0 , 1) \right\}$

Prove that the function $f:X\to I=[0,1]$ by $f(x)=\min\{\frac{d(x,C)}{d(p,C)},1\}$ is continuous on $X$.

Difference between basis and sub basis of a topological space.

Example of bijective continuous function that is not homeomorphism

$X$ is connected and separable. $X=Y\times Y$. Does $Y$ has to be also connected and separable?

Too much long line

Does Cauchy Completeness imply the Heine-Borel theorem generally?

Homeomorphism from punctured sphere to horn torus

Topology: Question on why this is a closed set

general topology, subsets and limit points

How to show that $E$ is closed.

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