List questions from geometric-measure-theory

Published on 22 Mar 2026 - 3:35

748

Views

Why is 3 a bad constant in the Vitali covering lemma (infinite version)?

Published on 21 Mar 2026 - 17:42

64

Views

The closure of an open subset in $\mathbb{R}^d$ is Ahlfors regular?

Published on 21 Mar 2026 - 17:36

190

Views

Convergence to zero in total variation: Seeking a contradiction

Published on 22 Mar 2026 - 11:25

177

Views

Minimizing total variation with small norm in a compact set

Published on 25 Mar 2026 - 1:34

169

Views

Constructing a function with constant line integral in $\mathbb{R}^n$?

Published on 21 Mar 2026 - 16:42

88

Views

Is finiteness of Assouad dimension a topological invariant for compact metric spaces?

Published on 24 Mar 2026 - 22:07

296

Views

Hausdorff measure on non separable spaces

Published on 21 Mar 2026 - 18:30

736

Views

Measure-theoretic boundary of a fat Cantor set

Published on 22 Mar 2026 - 8:26

326

Views

Doe a smooth function map positive measure sets to positive measure sets

Published on 24 Mar 2026 - 23:43

152

Views

relation between the Lebesgue measure and the perimeter of a set

Published on 22 Mar 2026 - 10:20

133

Views

Is there a set whose essential boundary is the Cantor set?

Published on 22 Mar 2026 - 4:28

356

Views

When does Brunn-Minkowski inequatily $(m(A+B))^{1/d} \geqslant (m(A))^{1/d} + (m(B))^{1/d}$ become equality?

Published on 22 Mar 2026 - 13:23

162

Views

A geometric probability question

Published on 22 Mar 2026 - 13:30

61

Views

Isoperimetric Inequality via Brunn-Minkowski is valid for every norm?

Published on 22 Mar 2026 - 14:03

List Question

Measure of set where functions are simultaneously bounded by their respective averages

Why is 3 a bad constant in the Vitali covering lemma (infinite version)?

The closure of an open subset in $\mathbb{R}^d$ is Ahlfors regular?

Convergence to zero in total variation: Seeking a contradiction

Minimizing total variation with small norm in a compact set

Constructing a function with constant line integral in $\mathbb{R}^n$?

Is finiteness of Assouad dimension a topological invariant for compact metric spaces?

Hausdorff measure on non separable spaces

Measure-theoretic boundary of a fat Cantor set

Doe a smooth function map positive measure sets to positive measure sets

relation between the Lebesgue measure and the perimeter of a set

Is there a set whose essential boundary is the Cantor set?

When does Brunn-Minkowski inequatily $(m(A+B))^{1/d} \geqslant (m(A))^{1/d} + (m(B))^{1/d}$ become equality?

A geometric probability question

Isoperimetric Inequality via Brunn-Minkowski is valid for every norm?

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