Question

Does there exist an open subset of R of Lebesgue measures .5 whose closure has Lebesgue measure 1?

score 121 · Answer 1 · 2026-04-10 17:40:43

121

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Does there exist an open subset of R of Lebesgue measures .5 whose closure has Lebesgue measure 1?

Published on 10 Apr 2026 - 17:40

score 239 · Answer 2 · 2026-04-11 23:55:00

239

Views

Using Beppo Levi's theorem

Published on 11 Apr 2026 - 23:55

score 608 · Answer 3 · 2020-03-15 16:01:25

608

Views

Finite and infinite intersection of measurable sets

Published on 15 Mar 2020 - 16:01

score 357 · Answer 4 · 2026-04-09 21:19:40

357

Views

Haar measure is absolutely continuous with respect to Lebesgue measure?

Published on 09 Apr 2026 - 21:19

score 158 · Answer 5 · 2026-04-10 21:45:39

158

Views

showing a function converges pointwise almost everywhere

Published on 10 Apr 2026 - 21:45

score 50 · Answer 6 · 2020-03-16 15:17:14

50

Views

If a function $F:(a, b)\rightarrow \mathbb{R}$ has a derivative in $\mathbb{R}\cup\{\infty\}$ everywhere on $(a, b)$, is the derivative finite a.e.?

Published on 16 Mar 2020 - 15:17

score 57 · Answer 7 · 2020-03-17 17:03:48

57

Views

Let $K$ a compact set. If $f:\mathbb{R}^n→\Bbb R^m$ is $C^1$ with $n<m$ then $f(K)$ has null measure.

Published on 17 Mar 2020 - 17:03

score 170 · Answer 8 · 2026-04-09 19:18:57

170

Views

Open set approximating measurable set

Published on 09 Apr 2026 - 19:18

score 49 · Answer 9 · 2026-04-12 23:59:52

49

Views

Let $\mu$ be the lebesgue measure and $f:\mathbb{R}^n \rightarrow \mathbb{R}^m$. When is true that $\mu (f(A)) \leq \mu (A)$?

Published on 12 Apr 2026 - 23:59

score 99 · Answer 10 · 2026-03-26 16:26:37

99

Views

Is the integral of a distribution function on a measure zero set is always zero?

Published on 26 Mar 2026 - 16:26

score 177 · Answer 11 · 2026-04-11 23:04:26

177

Views

cumulative distribution function of two independent variables

Published on 11 Apr 2026 - 23:04

score 85 · Answer 12 · 2026-04-04 20:23:33

85

Views

Lebesgue Integral for $\log\left(x\right)\log\left(x+1\right))$

Published on 04 Apr 2026 - 20:23

score 33 · Answer 13 · 2020-03-23 16:36:56

33

Views

Estimate for an integration over on a ball

Published on 23 Mar 2020 - 16:36

score 52 · Answer 14 · 2020-03-23 19:23:50

52

Views

If $A$,$B$ are rings then $A\times B$ is a ring

Published on 23 Mar 2020 - 19:23

score 405 · Answer 15 · 2026-04-10 19:04:22

405

Views

Prove random variables are not almost surely equal, but are equal in distributions

Published on 10 Apr 2026 - 19:04

List Question

Does there exist an open subset of R of Lebesgue measures .5 whose closure has Lebesgue measure 1?

Using Beppo Levi's theorem

Finite and infinite intersection of measurable sets

Haar measure is absolutely continuous with respect to Lebesgue measure?

showing a function converges pointwise almost everywhere

If a function $F:(a, b)\rightarrow \mathbb{R}$ has a derivative in $\mathbb{R}\cup\{\infty\}$ everywhere on $(a, b)$, is the derivative finite a.e.?

Let $K$ a compact set. If $f:\mathbb{R}^n→\Bbb R^m$ is $C^1$ with $n<m$ then $f(K)$ has null measure.

Open set approximating measurable set

Let $\mu$ be the lebesgue measure and $f:\mathbb{R}^n \rightarrow \mathbb{R}^m$. When is true that $\mu (f(A)) \leq \mu (A)$?

Is the integral of a distribution function on a measure zero set is always zero?

cumulative distribution function of two independent variables

Lebesgue Integral for $\log\left(x\right)\log\left(x+1\right))$

Estimate for an integration over on a ball

If $A$,$B$ are rings then $A\times B$ is a ring

Prove random variables are not almost surely equal, but are equal in distributions

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