Question

Upper limit of an outer measure

score 57 · Answer 1 · 2023-06-22 07:41:51

57

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Upper limit of an outer measure

Published on 22 Jun 2023 - 7:41

score 52 · Answer 2 · 2026-03-25 18:56:15

52

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A question about Theorem 2.8.7 from "Geometric Measure Theory" of Federer

Published on 25 Mar 2026 - 18:56

score 65 · Answer 3 · 2026-03-25 18:57:48

65

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A question about Theorem 2.8.2 of "Geometric Measure Theory" of Federer.

Published on 25 Mar 2026 - 18:57

score 45 · Answer 4 · 2026-03-25 18:56:34

45

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A lemma used to prove Besicovitch Theorem

Published on 25 Mar 2026 - 18:56

score 49 · Answer 5 · 2023-06-30 18:04:33

49

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Measure not equal to set function that generates outer-measure Counterexample

Published on 30 Jun 2023 - 18:04

score 49 · Answer 6 · 2023-07-11 15:55:44

49

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Extending a finite measure from a semi-ring $\mathcal{E}$ to $\sigma(\mathcal{E})$

Published on 11 Jul 2023 - 15:55

score 83 · Answer 7 · 2023-07-17 01:46:44

83

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Can the measure restricted from an outer measure extend to a different outer measure?

Published on 17 Jul 2023 - 1:46

score 104 · Answer 8 · 2026-03-26 01:25:14

104

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Is there a nonmeasurable subset of $\mathbb{R}^2$ that is $1-$dimensional Hausdorff measurable?

Published on 26 Mar 2026 - 1:25

score 48 · Answer 9 · 2023-07-28 09:24:36

48

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Measure spaces that stabilize with respect to the Carathéodory extension

Published on 28 Jul 2023 - 9:24

score 73 · Answer 10 · 2023-07-30 02:55:44

73

Views

Is the completion of a measure space the same as the Hahn-Kolmogorov extension?

Published on 30 Jul 2023 - 2:55

score 71 · Answer 11 · 2023-08-03 08:16:58

71

Views

Lebesgue outer measure of product of sets

Published on 03 Aug 2023 - 8:16

score 144 · Answer 12 · 2023-08-03 19:37:21

144

Views

Show that if $f:\mathbb{R}\to\mathbb{R}$ is differentiable with $|f'|\leq 1$ then $\lambda^(f(I))\leq \lambda^(I)$ for all open intervals $I$.

Published on 03 Aug 2023 - 19:37

score 62 · Answer 13 · 2023-08-05 04:07:49

62

Views

Does Carathéodory's extension of measure space preserve inclusion?

Published on 05 Aug 2023 - 4:07

score 49 · Answer 14 · 2023-08-12 11:48:08

49

Views

Solving Intervals Problem Without Outer Measure

Published on 12 Aug 2023 - 11:48

score 61 · Answer 15 · 2023-09-09 20:24:45

61

Views

How to prove the following outer measure is trivial?

Published on 09 Sep 2023 - 20:24

List Question

Upper limit of an outer measure

A question about Theorem 2.8.7 from "Geometric Measure Theory" of Federer

A question about Theorem 2.8.2 of "Geometric Measure Theory" of Federer.

A lemma used to prove Besicovitch Theorem

Measure not equal to set function that generates outer-measure Counterexample

Extending a finite measure from a semi-ring $\mathcal{E}$ to $\sigma(\mathcal{E})$

Can the measure restricted from an outer measure extend to a different outer measure?

Is there a nonmeasurable subset of $\mathbb{R}^2$ that is $1-$dimensional Hausdorff measurable?

Measure spaces that stabilize with respect to the Carathéodory extension

Is the completion of a measure space the same as the Hahn-Kolmogorov extension?

Lebesgue outer measure of product of sets

Show that if $f:\mathbb{R}\to\mathbb{R}$ is differentiable with $|f'|\leq 1$ then $\lambda^(f(I))\leq \lambda^(I)$ for all open intervals $I$.

Does Carathéodory's extension of measure space preserve inclusion?

Solving Intervals Problem Without Outer Measure

How to prove the following outer measure is trivial?

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