Question

How is $\mathbb{R}^n$ a compact subset of $\mathcal{H}(\mathbb{R}^n)$ (the set of all compact subsets of $\mathbb{R}^n$)?

score 156 · Answer 1 · 2026-03-25 14:24:40

156

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How is $\mathbb{R}^n$ a compact subset of $\mathcal{H}(\mathbb{R}^n)$ (the set of all compact subsets of $\mathbb{R}^n$)?

Published on 25 Mar 2026 - 14:24

score 31 · Answer 2 · 2026-03-25 14:24:01

31

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Hausdorff distance to alined convex polygon

Published on 25 Mar 2026 - 14:24

score 275 · Answer 3 · 2026-03-25 19:06:51

275

Views

How to calculate the Gromov Hausdorff distance between the sphere $S^2$ and $[0,1]$?

Published on 25 Mar 2026 - 19:06

score 163 · Answer 4 · 2026-03-25 14:25:12

163

Views

$K_n \to K$ w.r.t Hausdorff metric and $K_n\subset K$. Is $K = \bigcup\limits_{n\geq 1}K_n$?

Published on 25 Mar 2026 - 14:25

score 66 · Answer 5 · 2026-03-25 14:27:26

66

Views

Correct way to use Hausdorff Distance

Published on 25 Mar 2026 - 14:27

score 108 · Answer 6 · 2026-04-10 23:20:48

108

Views

Convergence of Sets from Preimage

Published on 10 Apr 2026 - 23:20

score 65 · Answer 7 · 2026-03-25 14:27:15

65

Views

A Compact Set as the Set of Limits of all Sequences

Published on 25 Mar 2026 - 14:27

score 1.1k · Answer 8 · 2026-04-09 13:52:36

1.1k

Views

Is Gower's Distance a metric?

Published on 09 Apr 2026 - 13:52

score 65 · Answer 9 · 2026-03-25 14:25:24

65

Views

Question on convergence of indicator functions by means of Hausdorff distance convergence of the sets

Published on 25 Mar 2026 - 14:25

score 59 · Answer 10 · 2026-03-25 14:21:44

59

Views

Is this a metric between subspaces?

Published on 25 Mar 2026 - 14:21

score 41 · Answer 11 · 2026-03-25 14:23:45

41

Views

The set of all transversal homoclinic points, and the associated set valued function

Published on 25 Mar 2026 - 14:23

score 130 · Answer 12 · 2026-03-25 14:27:06

130

Views

convergenge of Hausdorff dimension for a sequence of compact sets

Published on 25 Mar 2026 - 14:27

score 47 · Answer 13 · 2026-03-25 14:25:15

47

Views

Closeness wrt Hausdorff distance implies closeness of the measure of the two sets

Published on 25 Mar 2026 - 14:25

score 191 · Answer 14 · 2026-03-25 17:37:36

191

Views

Hausdorff distance between a sequence of sets and a limiting set

Published on 25 Mar 2026 - 17:37

score 623 · Answer 15 · 2026-03-25 16:00:10

623

Views

Continuity with respect to Hausdorff metric, also with intersection?

Published on 25 Mar 2026 - 16:00

List Question

How is $\mathbb{R}^n$ a compact subset of $\mathcal{H}(\mathbb{R}^n)$ (the set of all compact subsets of $\mathbb{R}^n$)?

Hausdorff distance to alined convex polygon

How to calculate the Gromov Hausdorff distance between the sphere $S^2$ and $[0,1]$?

$K_n \to K$ w.r.t Hausdorff metric and $K_n\subset K$. Is $K = \bigcup\limits_{n\geq 1}K_n$?

Correct way to use Hausdorff Distance

Convergence of Sets from Preimage

A Compact Set as the Set of Limits of all Sequences

Is Gower's Distance a metric?

Question on convergence of indicator functions by means of Hausdorff distance convergence of the sets

Is this a metric between subspaces?

The set of all transversal homoclinic points, and the associated set valued function

convergenge of Hausdorff dimension for a sequence of compact sets

Closeness wrt Hausdorff distance implies closeness of the measure of the two sets

Hausdorff distance between a sequence of sets and a limiting set

Continuity with respect to Hausdorff metric, also with intersection?

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