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Lebesgue and Jordan measure and some example

score 703 · Answer 1 · 2026-04-11 15:43:07

703

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Lebesgue and Jordan measure and some example

Published on 11 Apr 2026 - 15:43

score 398 · Answer 2 · 2026-04-15 20:29:17

398

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Characterization of sets in $\mathcal F^X_t =\sigma(\{X_s: s\leq t\})$ where $(X_t)_t$ is a stochastic process

Published on 15 Apr 2026 - 20:29

score 103 · Answer 3 · 2026-05-10 16:56:44

103

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Problem 3. Page 240. Barry Simon. (Associated Lebesgue-Stieltjes measure )

Published on 10 May 2026 - 16:56

score 141 · Answer 4 · 2026-04-15 11:00:45

141

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Working with the case $\Omega$ is countable and $\Omega$ is uncountable for a singleton set generator $\mathcal{E}$

Published on 15 Apr 2026 - 11:00

score 1.1k · Answer 5 · 2026-04-10 19:59:14

1.1k

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A continuous function on $[0,1]$ that is not of a bounded veriation

Published on 10 Apr 2026 - 19:59

score 269 · Answer 6 · 2026-04-16 08:02:46

$X,Y$ are independent iff conditional regular distribution of $X|Y$ is almost surely the same as the distribution of $X$.

score 217 · Answer 7 · 2026-04-14 20:33:37

217

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Uniqueness in Lebesgue Decomposition. Problem 3. Page 258 Barry Simon.

Published on 14 Apr 2026 - 20:33

score 119 · Answer 8 · 2026-05-11 03:13:27

119

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Equivalence of limit supremum of sequence of sets and sequence of functions

Published on 11 May 2026 - 3:13

score 63 · Answer 9 · 2026-05-11 01:25:00

63

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Example of measure for some algebra over $\mathbb N$

Published on 11 May 2026 - 1:25

score 111 · Answer 10 · 2026-04-10 07:04:46

111

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Passage to the limit when the integral is infinity?

Published on 10 Apr 2026 - 7:04

score 34 · Answer 11 · 2026-04-10 22:47:12

34

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Equivalence in $\infty$-norm

Published on 10 Apr 2026 - 22:47

score 1.3k · Answer 12 · 2026-04-14 17:37:36

1.3k

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Let f,g be bounded measurable functions on a set E of finite measure. Show that: If f=a.e.g then ∫f=∫g

Published on 14 Apr 2026 - 17:37

score 227 · Answer 13 · 2026-04-16 06:51:25

227

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Every locally finite measure space is regular

Published on 16 Apr 2026 - 6:51

score 127 · Answer 14 · 2026-05-10 19:47:11

127

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Inverse of Borel set is measurable?

Published on 10 May 2026 - 19:47

score 31 · Answer 15 · 2026-04-14 07:45:27

31

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The set $\mathbb{N}_\mu$ containing sets with $\mu(E)=0$ - how to understand it?

Published on 14 Apr 2026 - 7:45

List Question

Lebesgue and Jordan measure and some example

Characterization of sets in $\mathcal F^X_t =\sigma(\{X_s: s\leq t\})$ where $(X_t)_t$ is a stochastic process

Problem 3. Page 240. Barry Simon. (Associated Lebesgue-Stieltjes measure )

Working with the case $\Omega$ is countable and $\Omega$ is uncountable for a singleton set generator $\mathcal{E}$

A continuous function on $[0,1]$ that is not of a bounded veriation

$X,Y$ are independent iff conditional regular distribution of $X|Y$ is almost surely the same as the distribution of $X$.

Uniqueness in Lebesgue Decomposition. Problem 3. Page 258 Barry Simon.

Equivalence of limit supremum of sequence of sets and sequence of functions

Example of measure for some algebra over $\mathbb N$

Passage to the limit when the integral is infinity?

Equivalence in $\infty$-norm

Let f,g be bounded measurable functions on a set E of finite measure. Show that: If f=a.e.g then ∫f=∫g

Every locally finite measure space is regular

Inverse of Borel set is measurable?

The set $\mathbb{N}_\mu$ containing sets with $\mu(E)=0$ - how to understand it?

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