Question

Prove an assertion for a measure $\mu$ with $\mu (A+h)=\mu (A)$

score 57 · Answer 1 · 2026-03-22 06:53:46

57

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Prove an assertion for a measure $\mu$ with $\mu (A+h)=\mu (A)$

Published on 22 Mar 2026 - 6:53

score 108 · Answer 2 · 2026-03-22 22:25:16

108

Views

$\sigma$-algebra generated by a subset of a set

Published on 22 Mar 2026 - 22:25

score 129 · Answer 3 · 2026-03-24 04:44:48

129

Views

Are sets of point convergence of Borel functions Borel?

Published on 24 Mar 2026 - 4:44

score 62 · Answer 4 · 2026-03-24 16:55:23

62

Views

Can anyone give me an example of a measurable subset of the interval [10,100], that is not a Borel set.

Published on 24 Mar 2026 - 16:55

score 105 · Answer 5 · 2026-03-24 09:11:38

105

Views

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 24 Mar 2026 - 9:11

score 440 · Answer 6 · 2026-03-22 17:41:11

440

Views

Why is the sigma algebra generated by the set of all closed subsets a subset of the Borel sigma algebra on $\mathbb{R}$?

Published on 22 Mar 2026 - 17:41

score 182 · Answer 7 · 2026-03-22 21:19:23

182

Views

Permutation of binary expansion on (0,1)

Published on 22 Mar 2026 - 21:19

score 101 · Answer 8 · 2026-03-24 15:24:42

101

Views

Kernel of finitely additive function on $\mathbf{N}$ and Borel sets

Published on 24 Mar 2026 - 15:24

score 635 · Answer 9 · 2026-03-24 04:58:27

635

Views

Induced Borel $\sigma$-algebra.

Published on 24 Mar 2026 - 4:58

score 73 · Answer 10 · 2026-03-23 00:43:36

73

Views

Does set with Lebesgue-Mass nonzero have almost surely an open subset

Published on 23 Mar 2026 - 0:43

score 534 · Answer 11 · 2026-03-22 19:08:31

534

Views

Borel algebra in two-dimension Euclidean space is generated by products sets of one-dimension Borel sers

Published on 22 Mar 2026 - 19:08

score 324 · Answer 12 · 2026-03-21 22:20:22

324

Views

A question concerning the family of bounded Borel functions

Published on 21 Mar 2026 - 22:20

score 482 · Answer 13 · 2026-03-22 15:12:39

482

Views

If two measures coincide on bounded continuous functions, do they coincide on Borel subsets?

Published on 22 Mar 2026 - 15:12

score 239 · Answer 14 · 2026-03-22 08:36:08

239

Views

Relationship between Borel Sigma algebras

Published on 22 Mar 2026 - 8:36

score 1.5k · Answer 15 · 2026-03-21 22:08:34

1.5k

Views

translation and dilation invariance of borel sets

Published on 21 Mar 2026 - 22:08

List Question

Prove an assertion for a measure $\mu$ with $\mu (A+h)=\mu (A)$

$\sigma$-algebra generated by a subset of a set

Are sets of point convergence of Borel functions Borel?

Can anyone give me an example of a measurable subset of the interval [10,100], that is not a Borel set.

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

Why is the sigma algebra generated by the set of all closed subsets a subset of the Borel sigma algebra on $\mathbb{R}$?

Permutation of binary expansion on (0,1)

Kernel of finitely additive function on $\mathbf{N}$ and Borel sets

Induced Borel $\sigma$-algebra.

Does set with Lebesgue-Mass nonzero have almost surely an open subset

Borel algebra in two-dimension Euclidean space is generated by products sets of one-dimension Borel sers

A question concerning the family of bounded Borel functions

If two measures coincide on bounded continuous functions, do they coincide on Borel subsets?

Relationship between Borel Sigma algebras

translation and dilation invariance of borel sets

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