Question

Relative volume of $\delta$-fattening (neighborhood) of a compact set

score 321 · Answer 1 · 2026-03-22 12:54:52

321

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Relative volume of $\delta$-fattening (neighborhood) of a compact set

Published on 22 Mar 2026 - 12:54

score 66 · Answer 2 · 2026-03-22 01:46:06

66

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Question on lebesgue integration

Published on 22 Mar 2026 - 1:46

score 29 · Answer 3 · 2026-03-22 12:34:15

29

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Show that the following set is a null set

Published on 22 Mar 2026 - 12:34

score 105 · Answer 4 · 2026-03-21 22:44:41

105

Views

Maximum volume of a set

Published on 21 Mar 2026 - 22:44

score 62 · Answer 5 · 2026-03-22 06:12:14

62

Views

On the topological properties and measure of $\{(A,B)\in M(n,\mathbb R)\times M(n,\mathbb R) : \det (A+B)=\det(A)+\det(B)\}$

Published on 22 Mar 2026 - 6:12

score 2.5k · Answer 6 · 2018-01-30 21:16:32

2.5k

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Measurable subset of Vitaly set has measure zero. Proof.

Published on 30 Jan 2018 - 21:16

score 566 · Answer 7 · 2018-01-31 10:28:57

566

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How to prove that for a compact set to be measure zero, we need $\forall \epsilon > 0$, there exists a finite covering satisfying the necessary condn

Published on 31 Jan 2018 - 10:28

score 555 · Answer 8 · 2026-03-23 05:40:25

555

Views

Can a compact connected set in $\mathbb{R}^n$ with empty interior have positive Lebesgue measure?

Published on 23 Mar 2026 - 5:40

score 33 · Answer 9 · 2026-03-17 13:13:20

33

Views

n dimensional measure of homeomorphism of interval

Published on 17 Mar 2026 - 13:13

score 24 · Answer 10 · 2018-01-31 15:48:11

Show that an algebra is in $\mathcal{M} = \{A \subset \mathbb{R}, \forall E \subset \mathbb{R}, \mu^*(E) = \mu^*(E \cap A) + \mu^*(E \cap A^c) \} $

score 121 · Answer 11 · 2018-01-31 16:36:57

121

Views

if the projection of $E\subseteq \mathbb{R}^n$ onto $\mathbb{R}^{n-1}$ has (n-1) dim. measure zero, then the set $E$ has $n$-dim. measure zero

Published on 31 Jan 2018 - 16:36

score 198 · Answer 12 · 2018-01-31 20:38:17

198

Views

Is the $\sigma$-algebra of measurable sets a maximal family to which the lenght can be extended without losing its properties?

Published on 31 Jan 2018 - 20:38

score 105 · Answer 13 · 2026-03-19 19:46:32

105

Views

Example of integrable function which is nowhere $p$-integrable

Published on 19 Mar 2026 - 19:46

score 82 · Answer 14 · 2026-03-22 22:13:04

82

Views

Generalization of the Pólya–Szegő inequality

Published on 22 Mar 2026 - 22:13

score 106 · Answer 15 · 2018-02-01 22:47:53

106

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Evaluate $\lim_{n\to\infty} \int_{n}^{\infty}\frac{n^2\arctan(x)\arctan(\frac{1}{x})}{n^2+x^2}$

Published on 01 Feb 2018 - 22:47

List Question

Relative volume of $\delta$-fattening (neighborhood) of a compact set

Question on lebesgue integration

Show that the following set is a null set

Maximum volume of a set

On the topological properties and measure of $\{(A,B)\in M(n,\mathbb R)\times M(n,\mathbb R) : \det (A+B)=\det(A)+\det(B)\}$

Measurable subset of Vitaly set has measure zero. Proof.

How to prove that for a compact set to be measure zero, we need $\forall \epsilon > 0$, there exists a finite covering satisfying the necessary condn

Can a compact connected set in $\mathbb{R}^n$ with empty interior have positive Lebesgue measure?

n dimensional measure of homeomorphism of interval

Show that an algebra is in $\mathcal{M} = \{A \subset \mathbb{R}, \forall E \subset \mathbb{R}, \mu^(E) = \mu^(E \cap A) + \mu^*(E \cap A^c) \} $

if the projection of $E\subseteq \mathbb{R}^n$ onto $\mathbb{R}^{n-1}$ has (n-1) dim. measure zero, then the set $E$ has $n$-dim. measure zero

Is the $\sigma$-algebra of measurable sets a maximal family to which the lenght can be extended without losing its properties?

Example of integrable function which is nowhere $p$-integrable

Generalization of the Pólya–Szegő inequality

Evaluate $\lim_{n\to\infty} \int_{n}^{\infty}\frac{n^2\arctan(x)\arctan(\frac{1}{x})}{n^2+x^2}$

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