List questions from geometric-measure-theory

Published on 06 Aug 2017 - 4:23

352

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A property of area functional

Published on 26 Mar 2026 - 11:06

102

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I am trying to prove that $f(x)$ is in BV or in BV$([0,1])$?

Published on 19 Aug 2017 - 11:15

54

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Area (length) of a submanifold of the sphere

Published on 26 Aug 2017 - 14:09

48

Views

Understanding the behavior of a smoothed notion of perimeter for general measurable sets.

Published on 29 Aug 2017 - 2:10

41

Views

Measuring on a generated sigma algebra

Published on 29 Aug 2017 - 20:56

101

Views

Average size of symmetric differences of measurable sets

Published on 30 Aug 2017 - 17:08

20

Views

For a $j$-dimensional linear subspace L of a space $A$ with some angle property, show that this subspace lies in a $j$-dim Lipschitz graph.

Published on 07 Sep 2017 - 21:42

1.8k

Views

Coarea formula and its application

Published on 11 Sep 2017 - 9:50

149

Views

$BV$ function with prescribed jump

Published on 13 Sep 2017 - 16:20

1.2k

Views

An open subset with smooth boundary

Published on 17 Sep 2017 - 14:59

149

Views

Unclear application of Fubini's theorem in Radamacher's theorem proof

Published on 20 Sep 2017 - 13:02

88

Views

Necessity and correctness of Haussdorf's maximal principle in $5B$ covering lemma proof

Published on 24 Sep 2017 - 15:51

907

Views

Integral of a smooth function along the fibers is smooth

Published on 11 Oct 2017 - 18:13

89

Views

Concentration of the Gaussian measure "near the boundary"

Published on 28 Mar 2026 - 5:22

List Question

Upper d-Ahlfors measure, Hausdoff $N-1$ dimensional measure, usual surface measure

A property of area functional

I am trying to prove that $f(x)$ is in BV or in BV$([0,1])$?

Area (length) of a submanifold of the sphere

Understanding the behavior of a smoothed notion of perimeter for general measurable sets.

Measuring on a generated sigma algebra

Average size of symmetric differences of measurable sets

For a $j$-dimensional linear subspace L of a space $A$ with some angle property, show that this subspace lies in a $j$-dim Lipschitz graph.

Coarea formula and its application

$BV$ function with prescribed jump

An open subset with smooth boundary

Unclear application of Fubini's theorem in Radamacher's theorem proof

Necessity and correctness of Haussdorf's maximal principle in $5B$ covering lemma proof

Integral of a smooth function along the fibers is smooth

Concentration of the Gaussian measure "near the boundary"

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