Question

A special open subset of a completely regular space

score 47 · Answer 1 · 2026-04-12 13:13:33

47

Views

A special open subset of a completely regular space

Published on 12 Apr 2026 - 13:13

score 133 · Answer 2 · 2026-04-12 11:00:17

133

Views

Compactness of a specific set in weak topology

Published on 12 Apr 2026 - 11:00

score 162 · Answer 3 · 2026-05-11 00:31:17

162

Views

Dimension of an Open Covering - Serre's FAC

Published on 11 May 2026 - 0:31

score 429 · Answer 4 · 2026-04-16 22:41:57

429

Views

Distance to the boundary equals supremum of the radius of open balls

Published on 16 Apr 2026 - 22:41

score 843 · Answer 5 · 2026-04-11 20:41:44

843

Views

Isn't this proof of a theorem about the closedness of a set wrong?

Published on 11 Apr 2026 - 20:41

score 115 · Answer 6 · 2026-04-25 08:18:11

115

Views

How to construct a homeomorphism on closed unit disc onto itself which fixes boundary point wise?

Published on 25 Apr 2026 - 8:18

score 111 · Answer 7 · 2026-04-15 02:56:27

111

Views

How can I prove that $d(A,B)=d(A,\bar{B})=d(\bar{A},\bar{B})$

Published on 15 Apr 2026 - 2:56

score 48 · Answer 8 · 2026-04-16 13:00:19

48

Views

$f(z) = z^3$ then $f(B(x,\delta)) = B(y,\epsilon)$?

Published on 16 Apr 2026 - 13:00

score 147 · Answer 9 · 2026-04-15 21:34:34

147

Views

$\{x\} \times B \subset \mathbb{R}^{n+m}$ is compact if $B \subset \mathbb{R}^m$ is compact and $x \in \mathbb{R}^n$

Published on 15 Apr 2026 - 21:34

score 1.4k · Answer 10 · 2026-04-10 23:06:40

1.4k

Views

Interior of a connected set is connected

Published on 10 Apr 2026 - 23:06

score 64 · Answer 11 · 2026-04-12 12:55:24

64

Views

Showing that two mappings are continuous. Introduction to topology

Published on 12 Apr 2026 - 12:55

score 428 · Answer 12 · 2026-05-10 19:38:29

428

Views

Is there a dense set in $\mathbb{R}$ with outer measure $1$? And what about with the Density Topology?

Published on 10 May 2026 - 19:38

score 28 · Answer 13 · 2026-05-11 09:32:28

28

Views

$\bigcup_{\alpha\in C}\alpha A$ is compact in the topological vector space $X$

Published on 11 May 2026 - 9:32

score 66 · Answer 14 · 2026-05-10 19:10:23

66

Views

If a sequence of distinct points in a bounded connected open $\Omega$ doesn't converge in $\overline\Omega$, why can we apply analytic continuation?

Published on 10 May 2026 - 19:10

score 192 · Answer 15 · 2026-04-13 05:23:49

192

Views

Compact spaces and Urysohn Lemma

Published on 13 Apr 2026 - 5:23

List Question

A special open subset of a completely regular space

Compactness of a specific set in weak topology

Dimension of an Open Covering - Serre's FAC

Distance to the boundary equals supremum of the radius of open balls

Isn't this proof of a theorem about the closedness of a set wrong?

How to construct a homeomorphism on closed unit disc onto itself which fixes boundary point wise?

How can I prove that $d(A,B)=d(A,\bar{B})=d(\bar{A},\bar{B})$

$f(z) = z^3$ then $f(B(x,\delta)) = B(y,\epsilon)$?

$\{x\} \times B \subset \mathbb{R}^{n+m}$ is compact if $B \subset \mathbb{R}^m$ is compact and $x \in \mathbb{R}^n$

Interior of a connected set is connected

Showing that two mappings are continuous. Introduction to topology

Is there a dense set in $\mathbb{R}$ with outer measure $1$? And what about with the Density Topology?

$\bigcup_{\alpha\in C}\alpha A$ is compact in the topological vector space $X$

If a sequence of distinct points in a bounded connected open $\Omega$ doesn't converge in $\overline\Omega$, why can we apply analytic continuation?

Compact spaces and Urysohn Lemma

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