Question

Can you determine the length of a curve by the lengths of its projections onto planes?

score 362 · Answer 1 · 2016-04-28 16:03:54

362

Views

Can you determine the length of a curve by the lengths of its projections onto planes?

Published on 28 Apr 2016 - 16:03

score 769 · Answer 2 · 2016-04-29 15:44:33

769

Views

Are every measure on $\mathbb{R}^{n}$ borel and/or regular?

Published on 29 Apr 2016 - 15:44

score 664 · Answer 3 · 2016-05-10 15:14:14

664

Views

Is a Jordan curve encircling a finite-perimeter set rectifiable?

Published on 10 May 2016 - 15:14

score 1.1k · Answer 4 · 2016-05-11 03:22:21

1.1k

Views

Image of Lipschitz map measure zero

Published on 11 May 2016 - 3:22

score 45 · Answer 5 · 2016-05-25 02:52:46

45

Views

Let $f: [0,1] \to \mathbb R$ and $\Gamma(f)$ its graphic. Show that $\mathcal H^1(\Gamma(f)) \geq 1$.

Published on 25 May 2016 - 2:52

score 232 · Answer 6 · 2016-05-29 19:51:20

232

Views

Perimeter of the Unit Ball in $\mathbb R^n$

Published on 29 May 2016 - 19:51

score 132 · Answer 7 · 2016-05-30 00:12:07

132

Views

Two Borel disjoint sets such that the perimeter of union is less than the sum of perimeters

Published on 30 May 2016 - 0:12

score 589 · Answer 8 · 2016-06-08 14:33:27

589

Views

Using small spherical balls to fill a cube and also find volume of the cube

Published on 08 Jun 2016 - 14:33

score 378 · Answer 9 · 2016-06-14 04:40:43

378

Views

Help understanding proof of Frostman's Lemma - issue technical or termonological?

Published on 14 Jun 2016 - 4:40

score 107 · Answer 10 · 2016-06-16 19:50:45

107

Views

Minimum of $F$ over Finite Perimeter Sets in $\mathbb R^N$

Published on 16 Jun 2016 - 19:50

score 90 · Answer 11 · 2016-06-17 15:54:04

90

Views

$f : B \to \mathbb R^n$ such that $\mathcal L^n(N)=0 \implies \mathcal L^n(f(N))=0$

Published on 17 Jun 2016 - 15:54

score 308 · Answer 12 · 2016-06-19 18:55:02

308

Views

Constructing a null set and a Lipschitz function nowhere differentiable on it

Published on 19 Jun 2016 - 18:55

score 46 · Answer 13 · 2016-06-22 20:52:24

46

Views

Can we always extract a proper Hausdorff measurable subset from a Hausdorff measurable set?

Published on 22 Jun 2016 - 20:52

score 52 · Answer 14 · 2016-06-28 03:31:05

52

Views

Derivative of volume of given set

Published on 28 Jun 2016 - 3:31

score 96 · Answer 15 · 2016-06-28 11:29:33

96

Views

Function/Measure Notation in Geometric Measure Theory

Published on 28 Jun 2016 - 11:29

List Question

Can you determine the length of a curve by the lengths of its projections onto planes?

Are every measure on $\mathbb{R}^{n}$ borel and/or regular?

Is a Jordan curve encircling a finite-perimeter set rectifiable?

Image of Lipschitz map measure zero

Let $f: [0,1] \to \mathbb R$ and $\Gamma(f)$ its graphic. Show that $\mathcal H^1(\Gamma(f)) \geq 1$.

Perimeter of the Unit Ball in $\mathbb R^n$

Two Borel disjoint sets such that the perimeter of union is less than the sum of perimeters

Using small spherical balls to fill a cube and also find volume of the cube

Help understanding proof of Frostman's Lemma - issue technical or termonological?

Minimum of $F$ over Finite Perimeter Sets in $\mathbb R^N$

$f : B \to \mathbb R^n$ such that $\mathcal L^n(N)=0 \implies \mathcal L^n(f(N))=0$

Constructing a null set and a Lipschitz function nowhere differentiable on it

Can we always extract a proper Hausdorff measurable subset from a Hausdorff measurable set?

Derivative of volume of given set

Function/Measure Notation in Geometric Measure Theory

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