Question

Hausdorff measure of unit ball is bounded

score 95 · Answer 1 · 2023-02-20 16:23:47

95

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Hausdorff measure of unit ball is bounded

Published on 20 Feb 2023 - 16:23

score 24 · Answer 2 · 2023-03-03 03:57:38

24

Views

Disjoint subsets $\mathbb{R}^n$ with same Hausdorff measure on open sets

Published on 03 Mar 2023 - 3:57

score 69 · Answer 3 · 2023-03-14 22:26:07

69

Views

Understanding the proof of the Hausdorff area formula with multiplicities

Published on 14 Mar 2023 - 22:26

score 71 · Answer 4 · 2026-02-23 21:16:43

71

Views

How to calculation the Hausdorff dimension of this set?

Published on 23 Feb 2026 - 21:16

score 34 · Answer 5 · 2026-02-23 18:46:13

34

Views

Show that $g \in C([a,b]) \cap BV([a,b])$ with $\mu(E) = 0 \implies \mu(g(E)) = 0$ is in $AC([a,b])$

Published on 23 Feb 2026 - 18:46

score 53 · Answer 6 · 2023-03-17 18:19:02

53

Views

Hausdorff measure of uncountable dense subsets

Published on 17 Mar 2023 - 18:19

score 45 · Answer 7 · 2023-03-23 23:22:43

45

Views

Prove that if $E$ has smooth bounday $\lim_{r \to 0}{\mathcal{H}^{n-1}(\partial (E+B(0,r)))} = \mathcal{H}^{n-1}{\partial E} $

Published on 23 Mar 2023 - 23:22

score 81 · Answer 8 · 2023-03-27 17:16:04

81

Views

$\| \gamma(b) - \gamma (a) \| \leq \mathcal{H}^1(\gamma([a,b]))$ if $\gamma$ is not rectifiable?

Published on 27 Mar 2023 - 17:16

score 120 · Answer 9 · 2023-03-29 00:57:02

120

Views

Hausdorff dimension of the Koch curve

Published on 29 Mar 2023 - 0:57

score 256 · Answer 10 · 2023-04-25 19:05:02

256

Views

Naïve definition of a measure on a fractal

Published on 25 Apr 2023 - 19:05

score 50 · Answer 11 · 2023-04-30 05:49:42

50

Views

Bounding the Hausdorff measure of the image of a map

Published on 30 Apr 2023 - 5:49

score 45 · Answer 12 · 2023-05-07 23:37:06

45

Views

Bounding the Hausdorff Meausure of the image of a monotone bounded map

Published on 07 May 2023 - 23:37

score 16 · Answer 13 · 2026-03-10 05:35:32

16

Views

Upperbound on the Hausdorff measure of the roots of a underdetermined polynomial system

Published on 10 Mar 2026 - 5:35

score 162 · Answer 14 · 2023-05-14 13:30:03

162

Views

Relation between Hausdorff measure and Lebesgue Measure

Published on 14 May 2023 - 13:30

score 55 · Answer 15 · 2023-05-15 13:28:57

55

Views

Relating an integral over a sphere to an integral of a sphere one dimension smaller "without" using polar coordinates

Published on 15 May 2023 - 13:28

List Question

Hausdorff measure of unit ball is bounded

Disjoint subsets $\mathbb{R}^n$ with same Hausdorff measure on open sets

Understanding the proof of the Hausdorff area formula with multiplicities

How to calculation the Hausdorff dimension of this set?

Show that $g \in C([a,b]) \cap BV([a,b])$ with $\mu(E) = 0 \implies \mu(g(E)) = 0$ is in $AC([a,b])$

Hausdorff measure of uncountable dense subsets

Prove that if $E$ has smooth bounday $\lim_{r \to 0}{\mathcal{H}^{n-1}(\partial (E+B(0,r)))} = \mathcal{H}^{n-1}{\partial E} $

$\| \gamma(b) - \gamma (a) \| \leq \mathcal{H}^1(\gamma([a,b]))$ if $\gamma$ is not rectifiable?

Hausdorff dimension of the Koch curve

Naïve definition of a measure on a fractal

Bounding the Hausdorff measure of the image of a map

Bounding the Hausdorff Meausure of the image of a monotone bounded map

Upperbound on the Hausdorff measure of the roots of a underdetermined polynomial system

Relation between Hausdorff measure and Lebesgue Measure

Relating an integral over a sphere to an integral of a sphere one dimension smaller "without" using polar coordinates

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