List questions from geometric-measure-theory

Published on 22 Mar 2026 - 15:25

240

Views

Borel measure determined uniquely on a base

Published on 22 Mar 2026 - 10:44

646

Views

Exact value of Hausdorff measure of two dimensional Cantor set

Published on 12 Dec 2018 - 7:27

274

Views

Request for applications of the Filling Theorem: geometric and algebraic Dehn functions are asymptotically equivalent

Published on 24 Mar 2026 - 23:48

493

Views

weak* convergence of convolution between mollifiers and Radon measure

Published on 22 Mar 2026 - 10:28

187

Views

Is this function continuous/smooth?

Published on 21 Mar 2026 - 22:51

220

Views

A counter-example for integration by parts when there are "small" singularities

Published on 22 Mar 2026 - 4:00

167

Views

What motivates the use of the co-area formula? What is co-area?

Published on 21 Mar 2026 - 18:58

2k

Views

Compute area of a sphere through a Dirac delta

Published on 22 Mar 2026 - 0:42

49

Views

Is it true that $\mathcal H^{n-1}(\partial (A \cap B))=\mathcal H^{n-1}((\partial A) \cap B) + \mathcal H^{n-1}( A\cap ( \partial B))$?

Published on 22 Mar 2026 - 6:05

379

Views

Integrating the composition of a Heaviside function with a smooth function

Published on 23 Feb 2026 - 5:58

392

Views

Prove the geometric "Pigeonhole Principle"

Published on 22 Mar 2026 - 8:33

1.1k

Views

Is there a generalization of the nested interval theorem in $\mathbb{R}^n$?

Published on 21 Mar 2026 - 19:24

259

Views

How did we resolve the Banach-Taraski paradox?

Published on 22 Mar 2026 - 14:11

316

Views

What is the product of two Haar distributed unitary matrices?

Published on 03 Feb 2019 - 5:09

List Question

Proof of a convergence of sets in the context of Finite Perimeter sets

Borel measure determined uniquely on a base

Exact value of Hausdorff measure of two dimensional Cantor set

Request for applications of the Filling Theorem: geometric and algebraic Dehn functions are asymptotically equivalent

weak* convergence of convolution between mollifiers and Radon measure

Is this function continuous/smooth?

A counter-example for integration by parts when there are "small" singularities

What motivates the use of the co-area formula? What is co-area?

Compute area of a sphere through a Dirac delta

Is it true that $\mathcal H^{n-1}(\partial (A \cap B))=\mathcal H^{n-1}((\partial A) \cap B) + \mathcal H^{n-1}( A\cap ( \partial B))$?

Integrating the composition of a Heaviside function with a smooth function

Prove the geometric "Pigeonhole Principle"

Is there a generalization of the nested interval theorem in $\mathbb{R}^n$?

How did we resolve the Banach-Taraski paradox?

What is the product of two Haar distributed unitary matrices?

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