Question

Do there exist continuous maps from the Sphere to the Plane which preserve the Hausdorff Measure of all sets with some Dimension between 1 and 2?

score 91 · Answer 1 · 2023-10-25 18:01:20

91

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Do there exist continuous maps from the Sphere to the Plane which preserve the Hausdorff Measure of all sets with some Dimension between 1 and 2?

Published on 25 Oct 2023 - 18:01

score 82 · Answer 2 · 2023-10-30 11:13:23

82

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Naturalness of definition of line integral

Published on 30 Oct 2023 - 11:13

score 22 · Answer 3 · 2023-11-04 19:22:29

22

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question related to hausdorff dimension and hausdorff measure

Published on 04 Nov 2023 - 19:22

score 23 · Answer 4 · 2023-11-05 10:12:50

23

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what is the dimension of the intersection of the planar brownian range with a line

Published on 05 Nov 2023 - 10:12

score 61 · Answer 5 · 2023-11-13 05:05:30

61

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Hausdorff dimension calculation for groups

Published on 13 Nov 2023 - 5:05

score 35 · Answer 6 · 2023-11-20 14:48:53

35

Views

Embedded subshift in $[0,1]$ has dimension $0$?

Published on 20 Nov 2023 - 14:48

score 100 · Answer 7 · 2023-11-22 13:39:33

100

Views

Local isometry and Hausdorff dimension

Published on 22 Nov 2023 - 13:39

score 58 · Answer 8 · 2023-12-05 23:05:50

58

Views

A question on the Hausdorff dimension of a subset of $\mathbb{R}.$

Published on 05 Dec 2023 - 23:05

score 37 · Answer 9 · 2023-12-06 23:18:00

37

Views

When does the Hausdorff measure equal infinity?

Published on 06 Dec 2023 - 23:18

score 124 · Answer 10 · 2023-12-24 07:56:37

124

Views

Is the Hausdorff measure of this disk equal to 0?

Published on 24 Dec 2023 - 7:56

score 38 · Answer 11 · 2024-01-12 16:00:43

38

Views

Do countable collections of points in $B^m$ have Hausdorff 1-dimensional measure zero?

Published on 12 Jan 2024 - 16:00

score 44 · Answer 12 · 2024-02-02 16:39:04

44

Views

Why is Hausdorff Measure used on surfaces integrals?

Published on 02 Feb 2024 - 16:39

score 85 · Answer 13 · 2024-02-03 21:05:17

85

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Understanding Equality of Hausdorff Measures in Global and Submanifold Riemannian Metrics

Published on 03 Feb 2024 - 21:05

score 36 · Answer 14 · 2024-02-10 16:04:18

36

Views

Understanding Falconer Example 4.2

Published on 10 Feb 2024 - 16:04

score 29 · Answer 15 · 2024-02-15 09:01:28

29

Views

Locally bi-Lipschitz map preserves Hausdorff dimension

Published on 15 Feb 2024 - 9:01

List Question

Do there exist continuous maps from the Sphere to the Plane which preserve the Hausdorff Measure of all sets with some Dimension between 1 and 2?

Naturalness of definition of line integral

question related to hausdorff dimension and hausdorff measure

what is the dimension of the intersection of the planar brownian range with a line

Hausdorff dimension calculation for groups

Embedded subshift in $[0,1]$ has dimension $0$?

Local isometry and Hausdorff dimension

A question on the Hausdorff dimension of a subset of $\mathbb{R}.$

When does the Hausdorff measure equal infinity?

Is the Hausdorff measure of this disk equal to 0?

Do countable collections of points in $B^m$ have Hausdorff 1-dimensional measure zero?

Why is Hausdorff Measure used on surfaces integrals?

Understanding Equality of Hausdorff Measures in Global and Submanifold Riemannian Metrics

Understanding Falconer Example 4.2

Locally bi-Lipschitz map preserves Hausdorff dimension

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