Question

Has anyone seen this space before? Does it have a name?

score 96 · Answer 1 · 2026-04-10 23:29:47

96

Views

Has anyone seen this space before? Does it have a name?

Published on 10 Apr 2026 - 23:29

score 1.8k · Answer 2 · 2026-04-12 17:46:39

1.8k

Views

Prove that $[0,1]$ is not isometric to $[0,2]$.

Published on 12 Apr 2026 - 17:46

score 634 · Answer 3 · 2026-04-16 17:05:10

634

Views

Category of metric spaces versus category of non-empty spaces

Published on 16 Apr 2026 - 17:05

score 142 · Answer 4 · 2026-04-12 02:52:30

142

Views

Qualifier problem: Completeness of Metric Spaces

Published on 12 Apr 2026 - 2:52

score 231 · Answer 5 · 2026-04-14 18:10:50

231

Views

For compact $K$ and open $U \supseteq K$, there exists $\varepsilon>0$ such that $B(K,\varepsilon) \subseteq U$

Published on 14 Apr 2026 - 18:10

score 524 · Answer 6 · 2026-04-11 07:07:07

524

Views

What is the metric spaces needed to motivate concepts of general topology?

Published on 11 Apr 2026 - 7:07

score 379 · Answer 7 · 2026-04-13 17:49:25

379

Views

Metric spaces not isometric to any of their proper subsets

Published on 13 Apr 2026 - 17:49

score 35 · Answer 8 · 2026-04-09 13:48:04

35

Views

How are delta distributions defined in metric spaces?

Published on 09 Apr 2026 - 13:48

score 52 · Answer 9 · 2026-04-14 08:50:46

52

Views

The future of the orbit of a point is a closed set

Published on 14 Apr 2026 - 8:50

score 40 · Answer 10 · 2026-04-14 07:39:32

If $f:(A, d_A)\longrightarrow (Y, d^{'})$ and $g:(B, d_B)\longrightarrow (Y, d^{'})$ are uniformly continuous then $h$ is uniformly continuous?

score 10.2k · Answer 11 · 2026-04-09 12:36:55

10.2k

Views

How can I define a measure of similarity between two line segments in $\mathbb{R}^2$?

Published on 09 Apr 2026 - 12:36

score 110 · Answer 12 · 2026-04-07 18:20:32

110

Views

Condition for Lipschitz functions and set inclusion

Published on 07 Apr 2026 - 18:20

score 55 · Answer 13 · 2026-04-12 02:54:43

55

Views

Is an open connected subset of Euclidean space a countable sum of open precompact connected subsets?

Published on 12 Apr 2026 - 2:54

score 115 · Answer 14 · 2026-04-15 07:53:45

115

Views

$ d(x,y)^2 \le d(x,z)^2 - d(y,z)^2\color{}{+\varphi\big(x,y,z,d(x,y),d(y,z) \big)}? $

Published on 15 Apr 2026 - 7:53

score 2k · Answer 15 · 2026-03-25 22:30:02

2k

Views

Length minimizing curves are geodesic segments

Published on 25 Mar 2026 - 22:30

List Question

Has anyone seen this space before? Does it have a name?

Prove that $[0,1]$ is not isometric to $[0,2]$.

Category of metric spaces versus category of non-empty spaces

Qualifier problem: Completeness of Metric Spaces

For compact $K$ and open $U \supseteq K$, there exists $\varepsilon>0$ such that $B(K,\varepsilon) \subseteq U$

What is the metric spaces needed to motivate concepts of general topology?

Metric spaces not isometric to any of their proper subsets

How are delta distributions defined in metric spaces?

The future of the orbit of a point is a closed set

If $f:(A, d_A)\longrightarrow (Y, d^{'})$ and $g:(B, d_B)\longrightarrow (Y, d^{'})$ are uniformly continuous then $h$ is uniformly continuous?

How can I define a measure of similarity between two line segments in $\mathbb{R}^2$?

Condition for Lipschitz functions and set inclusion

Is an open connected subset of Euclidean space a countable sum of open precompact connected subsets?

$ d(x,y)^2 \le d(x,z)^2 - d(y,z)^2\color{}{+\varphi\big(x,y,z,d(x,y),d(y,z) \big)}? $

Length minimizing curves are geodesic segments

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