Question

Do smooth bijections always preserve Hausdorff dimension?

score 57 · Answer 1 · 2023-05-28 18:02:04

57

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Do smooth bijections always preserve Hausdorff dimension?

Published on 28 May 2023 - 18:02

score 87 · Answer 2 · 2023-06-01 16:27:27

87

Views

Inequality in theorem proof: Hausdorff dimension and projection theorem with energy integrals (Mattila book)

Published on 01 Jun 2023 - 16:27

score 131 · Answer 3 · 2023-06-05 11:43:25

131

Views

Hausdorff Dimension of an Intersection

Published on 05 Jun 2023 - 11:43

score 39 · Answer 4 · 2026-02-23 21:19:12

39

Views

Link between Hausdorff measure of a set and Hausdorff measure of a sphere

Published on 23 Feb 2026 - 21:19

score 85 · Answer 5 · 2023-06-28 17:40:05

85

Views

What is the "content" of a box?

Published on 28 Jun 2023 - 17:40

score 106 · Answer 6 · 2023-07-11 21:42:41

106

Views

Is there an Approximate tangent space that is NOT a Classical tangent space?

Published on 11 Jul 2023 - 21:42

score 53 · Answer 7 · 2026-03-25 03:22:18

53

Views

Prove $ \lim_{\varepsilon\to 0} \frac{dH^{n-1}(\Omega\cap\partial B(x,\varepsilon))}{dH^{n-1}(\partial B(x,\varepsilon))} = \frac{1}{2}.$

Published on 25 Mar 2026 - 3:22

score 103 · Answer 8 · 2023-07-24 00:58:58

103

Views

Is there a nonmeasurable subset of $\mathbb{R}^2$ that is $1-$dimensional Hausdorff measurable?

Published on 24 Jul 2023 - 0:58

score 23 · Answer 9 · 2023-07-26 19:35:24

23

Views

Conditional Expectation of a mathematical function

Published on 26 Jul 2023 - 19:35

score 100 · Answer 10 · 2023-07-27 16:50:24

100

Views

Does there exist a function $f:\mathbb{R}\to\mathbb{R}$ where all points in the graph of f cannot be approximated by other points in $f$?

Published on 27 Jul 2023 - 16:50

score 56 · Answer 11 · 2026-02-24 17:14:51

56

Views

Convergence of the perimeter of level sets

Published on 24 Feb 2026 - 17:14

score 28 · Answer 12 · 2023-08-07 14:44:20

28

Views

Hausdorff measure of $f(E)$ is greater than zero where $E$ compact and $f$ is (...)?

Published on 07 Aug 2023 - 14:44

score 34 · Answer 13 · 2023-08-11 17:29:22

34

Views

Proof of the convergence part of Jarník's Theorem

Published on 11 Aug 2023 - 17:29

score 47 · Answer 14 · 2023-08-13 17:31:12

47

Views

Existence of an $\alpha$-regular measure with positive measure on a binary digits do not have a limiting frequency

Published on 13 Aug 2023 - 17:31

score 40 · Answer 15 · 2023-09-21 03:48:36

40

Views

References on Hausdorff Dimension on Non-Euclidean Vector Spaces?

Published on 21 Sep 2023 - 3:48

List Question

Do smooth bijections always preserve Hausdorff dimension?

Inequality in theorem proof: Hausdorff dimension and projection theorem with energy integrals (Mattila book)

Hausdorff Dimension of an Intersection

Link between Hausdorff measure of a set and Hausdorff measure of a sphere

What is the "content" of a box?

Is there an Approximate tangent space that is NOT a Classical tangent space?

Prove $ \lim_{\varepsilon\to 0} \frac{dH^{n-1}(\Omega\cap\partial B(x,\varepsilon))}{dH^{n-1}(\partial B(x,\varepsilon))} = \frac{1}{2}.$

Is there a nonmeasurable subset of $\mathbb{R}^2$ that is $1-$dimensional Hausdorff measurable?

Conditional Expectation of a mathematical function

Does there exist a function $f:\mathbb{R}\to\mathbb{R}$ where all points in the graph of f cannot be approximated by other points in $f$?

Convergence of the perimeter of level sets

Hausdorff measure of $f(E)$ is greater than zero where $E$ compact and $f$ is (...)?

Proof of the convergence part of Jarník's Theorem

Existence of an $\alpha$-regular measure with positive measure on a binary digits do not have a limiting frequency

References on Hausdorff Dimension on Non-Euclidean Vector Spaces?

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