Question

Computing Lebesgue measure of the hypercube intersected with a ball.

score 74 · Answer 1 · 2026-03-29 15:59:54

74

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Computing Lebesgue measure of the hypercube intersected with a ball.

Published on 29 Mar 2026 - 15:59

score 98 · Answer 2 · 2019-11-02 13:58:08

98

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Subset $A\in\mathcal{B}(\mathbb{R})$ which contains half of every bounded interval

Published on 02 Nov 2019 - 13:58

score 61 · Answer 3 · 2019-11-02 17:43:35

61

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Show: $\forall \ A\in\mathcal{L}(\mathbb{R})$ the set $A\times\mathbb{R}\subset\mathbb{R}^2\in\mathcal{L}(\mathbb{R}^2)$

Published on 02 Nov 2019 - 17:43

score 187 · Answer 4 · 2026-04-10 06:03:12

187

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Equality in Lebesgue measure theory

Published on 10 Apr 2026 - 6:03

score 1.5k · Answer 5 · 2026-03-25 23:16:39

1.5k

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Lebesgue measurable set, union of Borel set and null set

Published on 25 Mar 2026 - 23:16

score 99 · Answer 6 · 2019-11-03 23:01:06

99

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Equivalent characterization of convergence in measure

Published on 03 Nov 2019 - 23:01

score 71 · Answer 7 · 2026-04-10 00:33:25

71

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Is every null set a subset of an uncountable null set?

Published on 10 Apr 2026 - 0:33

score 50 · Answer 8 · 2019-11-04 21:18:31

50

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Reordering of a countable number of sets

Published on 04 Nov 2019 - 21:18

score 123 · Answer 9 · 2026-03-26 00:52:52

123

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Question on Borel Set $X = \Bbb{Q} \times (\Bbb{R} \setminus \Bbb{Q})$

Published on 26 Mar 2026 - 0:52

score 32 · Answer 10 · 2026-03-22 13:04:07

32

Views

Reading and Evaluating an Iterated Integral

Published on 22 Mar 2026 - 13:04

score 30 · Answer 11 · 2026-04-10 04:15:21

30

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If $f$ is lipschitzian, then carries null measure set into null measure set. But if $f$ is just continuous?

Published on 10 Apr 2026 - 4:15

score 68 · Answer 12 · 2026-03-26 00:53:55

68

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Proof of contrapositive of Lemma 1.5.3 of book Measure Theory, by Donald L. Cohn

Published on 26 Mar 2026 - 0:53

score 376 · Answer 13 · 2026-04-08 19:27:18

376

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Proof relating to sum of Lebesgue integrable functions

Published on 08 Apr 2026 - 19:27

score 47 · Answer 14 · 2026-04-03 10:43:39

47

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Proof that $\left| \int_X \mathbf{f} d\mu \right|_p \leq \int_X \left| \mathbf{f} \right|_p d\mu$ for $\mathbf{f} = (f_1, ..., f_n)$

Published on 03 Apr 2026 - 10:43

score 60 · Answer 15 · 2019-11-07 09:38:05

60

Views

Lebesgue measurable sets: $1 \in A-A$

Published on 07 Nov 2019 - 9:38

List Question

Computing Lebesgue measure of the hypercube intersected with a ball.

Subset $A\in\mathcal{B}(\mathbb{R})$ which contains half of every bounded interval

Show: $\forall \ A\in\mathcal{L}(\mathbb{R})$ the set $A\times\mathbb{R}\subset\mathbb{R}^2\in\mathcal{L}(\mathbb{R}^2)$

Equality in Lebesgue measure theory

Lebesgue measurable set, union of Borel set and null set

Equivalent characterization of convergence in measure

Is every null set a subset of an uncountable null set?

Reordering of a countable number of sets

Question on Borel Set $X = \Bbb{Q} \times (\Bbb{R} \setminus \Bbb{Q})$

Reading and Evaluating an Iterated Integral

If $f$ is lipschitzian, then carries null measure set into null measure set. But if $f$ is just continuous?

Proof of contrapositive of Lemma 1.5.3 of book Measure Theory, by Donald L. Cohn

Proof relating to sum of Lebesgue integrable functions

Proof that $\left| \int_X \mathbf{f} d\mu \right|_p \leq \int_X \left| \mathbf{f} \right|_p d\mu$ for $\mathbf{f} = (f_1, ..., f_n)$

Lebesgue measurable sets: $1 \in A-A$

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