List questions from measure-theory

Published on 12 Apr 2026 - 8:18

355

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Uncountable unions of nested sets in a sigma field

Published on 07 Apr 2026 - 14:40

884

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Counterexample to Restrictions of Radon Measures are Radon

Published on 11 Apr 2026 - 13:56

71

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Sets with measure 0, $\mu (G)=0$ for some set G.

Published on 17 Feb 2018 - 14:57

281

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Borel's strong law of large numbers: the proofs

Published on 11 Apr 2026 - 18:07

131

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Usefulness of constructing a probability measure on an algebra in $\mathbb{R}$

Published on 28 Mar 2026 - 20:59

534

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Show that the digit $d$($0<d<10$) occurs as a first digit in power of 2 with frequency $log_{10} \frac{d+1}{d}$.

Published on 25 Mar 2026 - 6:13

20

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What is the set condition for a multivariate probability to be 0?

Published on 28 Mar 2026 - 20:53

193

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Uniqueness of a P-measurable random variable

Published on 07 Apr 2026 - 0:40

509

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(Baby Rudin Remark 11.11) Every closed set is measurable

Published on 25 Mar 2026 - 4:41

43

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Question on whether I can apply Fatou's Lemma

Published on 11 Apr 2026 - 20:33

481

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converge in $\mu$ almost everywhere

Published on 09 Apr 2026 - 4:30

485

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Showing that the elementary processes generate the predictable sigma-algebra

Published on 11 Apr 2026 - 19:36

108

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If $A \subseteq \mathbb{R}$ satisfies $m^\ast(A) = 0$, then there exist $B, C ∈ \mathcal{B}(\mathbb{R})$ such that $A = B \setminus C$?

Published on 09 Apr 2026 - 2:08

111

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Size of union of sets when intersection is empty

Published on 25 Mar 2026 - 6:11

List Question

Nonnegativity assumption for the Schwarz rearrangement of a function

Uncountable unions of nested sets in a sigma field

Counterexample to Restrictions of Radon Measures are Radon

Sets with measure 0, $\mu (G)=0$ for some set G.

Borel's strong law of large numbers: the proofs

Usefulness of constructing a probability measure on an algebra in $\mathbb{R}$

Show that the digit $d$($0<d<10$) occurs as a first digit in power of 2 with frequency $log_{10} \frac{d+1}{d}$.

What is the set condition for a multivariate probability to be 0?

Uniqueness of a P-measurable random variable

(Baby Rudin Remark 11.11) Every closed set is measurable

Question on whether I can apply Fatou's Lemma

converge in $\mu$ almost everywhere

Showing that the elementary processes generate the predictable sigma-algebra

If $A \subseteq \mathbb{R}$ satisfies $m^\ast(A) = 0$, then there exist $B, C ∈ \mathcal{B}(\mathbb{R})$ such that $A = B \setminus C$?

Size of union of sets when intersection is empty

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