Question

Example of Borel set for the graph of a function mapping a real interval to a function space with product topology

score 72 · Answer 1 · 2021-03-27 13:03:15

72

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Example of Borel set for the graph of a function mapping a real interval to a function space with product topology

Published on 27 Mar 2021 - 13:03

score 133 · Answer 2 · 2021-03-31 03:56:36

133

Views

Is the difference of a compact set and a measure zero set a Borel set?

Published on 31 Mar 2021 - 3:56

score 1.3k · Answer 3 · 2021-04-03 21:04:42

1.3k

Views

Show that If $B\subset R$ be a Borel set then $t+B$ also be Borel set. for any $t\in R$. where R is real numbers

Published on 03 Apr 2021 - 21:04

score 191 · Answer 4 · 2026-03-29 22:28:58

191

Views

Why is this function, used to show that finite Borel relations are smooth, Borel?

Published on 29 Mar 2026 - 22:28

score 1.9k · Answer 5 · 2021-04-07 11:10:43

1.9k

Views

What is the significance of a Borel $\sigma$-algebra?

Published on 07 Apr 2021 - 11:10

score 27 · Answer 6 · 2021-04-09 11:00:50

27

Views

How to calculate $E[g|\mathcal{F}] , E[f|\mathcal{G}] $?

Published on 09 Apr 2021 - 11:00

score 184 · Answer 7 · 2026-03-29 22:28:49

184

Views

property of Baire and Borel sets

Published on 29 Mar 2026 - 22:28

score 81 · Answer 8 · 2026-03-29 22:29:59

81

Views

$f: X\rightarrow Y$ s.t. $f^{-1}(\boldsymbol{\Sigma_3^0})\subseteq\boldsymbol{\Sigma_2^0}$

Published on 29 Mar 2026 - 22:29

score 641 · Answer 9 · 2026-03-26 08:04:36

641

Views

Proofs for "Every interval of $\mathbb{R}$ is a Borel set"

Published on 26 Mar 2026 - 8:04

score 42 · Answer 10 · 2021-04-18 09:36:50

42

Views

Conditions for a topological space to contain a non-Borel subset

Published on 18 Apr 2021 - 9:36

score 59 · Answer 11 · 2021-04-19 16:01:15

59

Views

Basic question about the measure spaces behind examples of Lebesgue measurable sets that are not Borel

Published on 19 Apr 2021 - 16:01

score 90 · Answer 12 · 2021-04-21 14:05:12

90

Views

Application of transfinite induction and minimum well-ordered set to cardinality of collection of Borel sets

Published on 21 Apr 2021 - 14:05

score 1.1k · Answer 13 · 2021-04-22 21:25:48

1.1k

Views

$\mathcal{S}$, smallest $\sigma$-algebra on $\mathbb{R}$ containing $\{(r,s]:r,s\in\mathbb{Q}\}$, is the collection of Borel subsets of $\mathbb{R}$

Published on 22 Apr 2021 - 21:25

score 131 · Answer 14 · 2026-03-29 22:33:04

131

Views

In an uncountable Polish space there is no countably generated $\sigma$-algebra between analytic sets and sets with the Baire property

Published on 29 Mar 2026 - 22:33

score 827 · Answer 15 · 2021-04-24 11:57:04

827

Views

The collection of Borel sets $\mathcal{B}$ is translation invariant

Published on 24 Apr 2021 - 11:57

List Question

Example of Borel set for the graph of a function mapping a real interval to a function space with product topology

Is the difference of a compact set and a measure zero set a Borel set?

Show that If $B\subset R$ be a Borel set then $t+B$ also be Borel set. for any $t\in R$. where R is real numbers

Why is this function, used to show that finite Borel relations are smooth, Borel?

What is the significance of a Borel $\sigma$-algebra?

How to calculate $E[g|\mathcal{F}] , E[f|\mathcal{G}] $?

property of Baire and Borel sets

$f: X\rightarrow Y$ s.t. $f^{-1}(\boldsymbol{\Sigma_3^0})\subseteq\boldsymbol{\Sigma_2^0}$

Proofs for "Every interval of $\mathbb{R}$ is a Borel set"

Conditions for a topological space to contain a non-Borel subset

Basic question about the measure spaces behind examples of Lebesgue measurable sets that are not Borel

Application of transfinite induction and minimum well-ordered set to cardinality of collection of Borel sets

$\mathcal{S}$, smallest $\sigma$-algebra on $\mathbb{R}$ containing $\{(r,s]:r,s\in\mathbb{Q}\}$, is the collection of Borel subsets of $\mathbb{R}$

In an uncountable Polish space there is no countably generated $\sigma$-algebra between analytic sets and sets with the Baire property

The collection of Borel sets $\mathcal{B}$ is translation invariant

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