Question

reference request: Borel sigma-algebra of a subspace is the trace sigma-algebra

score 320 · Answer 1 · 2018-12-30 18:34:03

320

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reference request: Borel sigma-algebra of a subspace is the trace sigma-algebra

Published on 30 Dec 2018 - 18:34

score 711 · Answer 2 · 2026-03-25 06:05:48

711

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$f$ measurable iff $f^2$ measurable and $\{f > 0\}$ measurable

Published on 25 Mar 2026 - 6:05

score 328 · Answer 3 · 2019-01-16 10:31:18

328

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Constructing sigma algebras in countably many steps

Published on 16 Jan 2019 - 10:31

score 358 · Answer 4 · 2026-03-25 12:13:45

358

Views

Borel Hierarchy

Published on 25 Mar 2026 - 12:13

score 118 · Answer 5 · 2019-01-28 05:44:20

(T/F) If $\mu$ is a Borel measure on $\mathbb{R}$ and $A$ is a Borel set such that $\mu(A \cap K) = 0$ for all compact sets $K$, then $\mu(A) = 0$.

score 122 · Answer 6 · 2026-03-23 09:50:51

122

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A consequence of the Selection Theorem for the Effros Borel space F(X) - self study

Published on 23 Mar 2026 - 9:50

score 1.6k · Answer 7 · 2019-02-01 18:41:14

1.6k

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How to check whether a set belongs to a $\sigma$-algebra? Not understanding "a Borel function"

Published on 01 Feb 2019 - 18:41

score 149 · Answer 8 · 2026-03-24 00:24:13

149

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Direct sum of subgroups of $\mathbb{Q}^n$ with $\mathbb{Q}$ is a Borel map - Self study

Published on 24 Mar 2026 - 0:24

score 327 · Answer 9 · 2019-02-06 17:39:13

327

Views

Show that $f$ is $\mathbf{X}$-measurable iff $f^{-1}(E)\in\mathbf{X}$ for every Borel set $E$.

Published on 06 Feb 2019 - 17:39

score 67 · Answer 10 · 2019-02-13 16:17:42

67

Views

How do I prove this for a borel sigma algebra on R?

Published on 13 Feb 2019 - 16:17

score 85 · Answer 11 · 2026-03-22 19:21:54

85

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How to Modify a Borel function in a Borel way-Self study

Published on 22 Mar 2026 - 19:21

score 197 · Answer 12 · 2019-02-22 17:08:40

197

Views

Is the set of Borel measurable transformations the closure of continuous functions under pointwise limits?

Published on 22 Feb 2019 - 17:08

score 1.8k · Answer 13 · 2019-02-24 13:43:09

1.8k

Views

Borel $σ$-algebra generated by intervals on real line

Published on 24 Feb 2019 - 13:43

score 84 · Answer 14 · 2019-02-27 03:23:11

84

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Prove the set for which a sequence of continuous functions converge is Borel

Published on 27 Feb 2019 - 3:23

score 127 · Answer 15 · 2019-03-01 16:19:12

127

Views

Equivalent definition of Borel $\sigma$-algebra on $\mathbb{R}$

Published on 01 Mar 2019 - 16:19

List Question

reference request: Borel sigma-algebra of a subspace is the trace sigma-algebra

$f$ measurable iff $f^2$ measurable and $\{f > 0\}$ measurable

Constructing sigma algebras in countably many steps

Borel Hierarchy

(T/F) If $\mu$ is a Borel measure on $\mathbb{R}$ and $A$ is a Borel set such that $\mu(A \cap K) = 0$ for all compact sets $K$, then $\mu(A) = 0$.

A consequence of the Selection Theorem for the Effros Borel space F(X) - self study

How to check whether a set belongs to a $\sigma$-algebra? Not understanding "a Borel function"

Direct sum of subgroups of $\mathbb{Q}^n$ with $\mathbb{Q}$ is a Borel map - Self study

Show that $f$ is $\mathbf{X}$-measurable iff $f^{-1}(E)\in\mathbf{X}$ for every Borel set $E$.

How do I prove this for a borel sigma algebra on R?

How to Modify a Borel function in a Borel way-Self study

Is the set of Borel measurable transformations the closure of continuous functions under pointwise limits?

Borel $σ$-algebra generated by intervals on real line

Prove the set for which a sequence of continuous functions converge is Borel

Equivalent definition of Borel $\sigma$-algebra on $\mathbb{R}$

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