List questions from geometric-measure-theory

Published on 22 Feb 2013 - 19:50

119

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doubt in a book proof from 'The Geometry of Fractal Sets'

Published on 03 Mar 2013 - 15:03

2.3k

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To show that the set point distant by 1 of a compact set has Lebesgue measure $0$

Published on 12 Mar 2013 - 14:36

202

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Limits to the growth of the volume of a union of spheres

Published on 28 Mar 2026 - 20:08

65

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Is the notion of injective a.e. in the image well-defined for Sobolev maps?

Published on 09 Aug 2020 - 6:05

662

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Geometric Measure Theory prerequisites

Published on 09 Aug 2020 - 21:15

138

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Intersection of $(n-1)$-rectifiable set with hyperplane

Published on 11 Aug 2020 - 0:23

20

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Removing a surface decreases the mass

Published on 13 Aug 2020 - 16:58

154

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(UPDATED) Let $(X,S,\mu)$ a measure space, $(A_n)_{n\in \mathbb{N}}$ a sequence in S.

Published on 18 Aug 2020 - 15:06

162

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Is every isometric immersion between surfaces of equal area injective?

Published on 25 Aug 2020 - 10:54

94

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Is every isometric immersion which is a limit of injective maps injective?

Published on 25 Aug 2020 - 14:25

125

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Is Sobolev limit of bijective maps surjective?

Published on 26 Aug 2020 - 11:00

24

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Metrizability of the space $C^0([0, T], \mathcal G)$

Published on 16 Sep 2020 - 9:22

73

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Support when measures converges weakly

Published on 26 Mar 2026 - 11:16

57

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Equivalent Definition of p-Sweep Outs

Published on 06 Oct 2020 - 10:10

List Question

density of $\mathcal{C}_1$ surface in a point

doubt in a book proof from 'The Geometry of Fractal Sets'

To show that the set point distant by 1 of a compact set has Lebesgue measure $0$

Limits to the growth of the volume of a union of spheres

Is the notion of injective a.e. in the image well-defined for Sobolev maps?

Geometric Measure Theory prerequisites

Intersection of $(n-1)$-rectifiable set with hyperplane

Removing a surface decreases the mass

(UPDATED) Let $(X,S,\mu)$ a measure space, $(A_n)_{n\in \mathbb{N}}$ a sequence in S.

Is every isometric immersion between surfaces of equal area injective?

Is every isometric immersion which is a limit of injective maps injective?

Is Sobolev limit of bijective maps surjective?

Metrizability of the space $C^0([0, T], \mathcal G)$

Support when measures converges weakly

Equivalent Definition of p-Sweep Outs

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