List questions from geometric-measure-theory

Published on 25 Jan 2022 - 11:53

26

Views

How to understand the coarea formula for homotopies

Published on 25 Jan 2022 - 13:26

94

Views

Decomposing measures as products Fubini style

Published on 07 Feb 2022 - 17:45

161

Views

An elementary proof that finite perimeter implies finite volume (up to complementation)

Published on 13 Feb 2022 - 15:23

44

Views

Reduction to parallelepipeds with dyadic projections

Published on 18 Feb 2022 - 8:06

70

Views

A function of bounded variation in a regular set has bounded variation in $\mathbb R^N$ and a formula for its variation

Published on 25 Mar 2026 - 21:01

254

Views

Understanding the notion of approximate tangent space, with examples

Published on 20 Feb 2022 - 17:47

62

Views

Almgren and Taylor's movie about soap bubbles

Published on 25 Mar 2026 - 12:51

39

Views

A lattice acts in a locally compact group

Published on 25 Mar 2026 - 22:03

31

Views

Weak limit of a certain measure sequence is stationary

Published on 25 Feb 2022 - 11:26

136

Views

Cantor-like functions for $\xi\neq \frac{1}{3}$

Published on 29 Mar 2026 - 10:18

72

Views

Prove that if $\mathcal H^1(F) = 0$ for $F\subset \Bbb R$, then $\Bbb R\setminus F$ is dense

Published on 26 Mar 2026 - 23:10

111

Views

Different definitions of Hausdorff measure (balls vs cubes vs arbitrary open sets)

Published on 26 Mar 2026 - 21:34

150

Views

Property holding almost everywhere implies existence of dense subset?

Published on 20 Mar 2022 - 13:53

115

Views

Radon-Nikodym derivative of Lebesgue measure with respect to Hausdorff measure is Jacobian term?

Published on 26 Mar 2026 - 19:39

List Question

A detail in a proof of the Steiner's inequality about sets of finite perimeter

How to understand the coarea formula for homotopies

Decomposing measures as products Fubini style

An elementary proof that finite perimeter implies finite volume (up to complementation)

Reduction to parallelepipeds with dyadic projections

A function of bounded variation in a regular set has bounded variation in $\mathbb R^N$ and a formula for its variation

Understanding the notion of approximate tangent space, with examples

Almgren and Taylor's movie about soap bubbles

A lattice acts in a locally compact group

Weak limit of a certain measure sequence is stationary

Cantor-like functions for $\xi\neq \frac{1}{3}$

Prove that if $\mathcal H^1(F) = 0$ for $F\subset \Bbb R$, then $\Bbb R\setminus F$ is dense

Different definitions of Hausdorff measure (balls vs cubes vs arbitrary open sets)

Property holding almost everywhere implies existence of dense subset?

Radon-Nikodym derivative of Lebesgue measure with respect to Hausdorff measure is Jacobian term?

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