Question

If $X \subset Y \subset Z$ are Metric Spaces with the same metric, is $\overline{X}$ the same be it taken in relation to $Y$ or $Z$?

score 37 · Answer 1 · 2026-04-01 14:24:51

If $X \subset Y \subset Z$ are Metric Spaces with the same metric, is $\overline{X}$ the same be it taken in relation to $Y$ or $Z$?

score 89 · Answer 2 · 2018-06-25 17:45:14

89

Views

Subset of $\mathbb R^2$ with connected boundary

Published on 25 Jun 2018 - 17:45

score 60 · Answer 3 · 2018-06-25 19:31:40

60

Views

Showing the restriction of the quotient map in the construction of an attachment space is a homeomorphism

Published on 25 Jun 2018 - 19:31

score 172 · Answer 4 · 2026-03-25 12:39:53

172

Views

A naïve attempt at an elementary proof of Jordan-Brouwer separation theorem

Published on 25 Mar 2026 - 12:39

score 137 · Answer 5 · 2026-03-25 09:48:19

137

Views

Countably Compact, Separable, $T_1$, Connected Space that is not Compact

Published on 25 Mar 2026 - 9:48

score 275 · Answer 6 · 2026-04-01 08:21:49

275

Views

Existence of Connected Sets in Complements of Closed Sets

Published on 01 Apr 2026 - 8:21

score 90 · Answer 7 · 2018-06-26 04:08:13

90

Views

Being a local homeomorphism implies that stalks correspond to fibers. Is the converse true?

Published on 26 Jun 2018 - 4:08

score 41 · Answer 8 · 2026-02-22 23:10:52

Let $(X, \mathcal{U})$ be a uniform space and $C\in\mathcal{U}$ be given. Is there a compact set $D\in\mathcal{U}$ such that $D\subseteq C$?

score 1k · Answer 9 · 2026-04-02 07:53:11

1k

Views

Defining the Smash product

Published on 02 Apr 2026 - 7:53

score 287 · Answer 10 · 2026-04-02 07:55:56

287

Views

Homotopy equivalence of total space of fibrations

Published on 02 Apr 2026 - 7:55

score 148 · Answer 11 · 2018-06-26 16:36:40

148

Views

Standard Topology

Published on 26 Jun 2018 - 16:36

score 47 · Answer 12 · 2018-06-26 16:57:40

47

Views

Show the equality of two topologies

Published on 26 Jun 2018 - 16:57

score 315 · Answer 13 · 2026-03-25 20:42:23

315

Views

If $X$ admits a Hausdorff compactification, then $X$ is locally compact?

Published on 25 Mar 2026 - 20:42

score 192 · Answer 14 · 2018-06-26 18:01:13

192

Views

Lim inf and lim sup of Infinite intersection of closed sets [0,1],[0,1/2],[0,1/3],..

Published on 26 Jun 2018 - 18:01

score 64 · Answer 15 · 2018-06-26 18:11:59

64

Views

Can a standard topological space be constructed from a closed subset in $\mathbb{R}^n$?

Published on 26 Jun 2018 - 18:11

List Question

If $X \subset Y \subset Z$ are Metric Spaces with the same metric, is $\overline{X}$ the same be it taken in relation to $Y$ or $Z$?

Subset of $\mathbb R^2$ with connected boundary

Showing the restriction of the quotient map in the construction of an attachment space is a homeomorphism

A naïve attempt at an elementary proof of Jordan-Brouwer separation theorem

Countably Compact, Separable, $T_1$, Connected Space that is not Compact

Existence of Connected Sets in Complements of Closed Sets

Being a local homeomorphism implies that stalks correspond to fibers. Is the converse true?

Let $(X, \mathcal{U})$ be a uniform space and $C\in\mathcal{U}$ be given. Is there a compact set $D\in\mathcal{U}$ such that $D\subseteq C$?

Defining the Smash product

Homotopy equivalence of total space of fibrations

Standard Topology

Show the equality of two topologies

If $X$ admits a Hausdorff compactification, then $X$ is locally compact?

Lim inf and lim sup of Infinite intersection of closed sets [0,1],[0,1/2],[0,1/3],..

Can a standard topological space be constructed from a closed subset in $\mathbb{R}^n$?

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