Question

measure defined in terms of an integral

score 107 · Answer 1 · 2021-02-13 16:25:58

107

Views

measure defined in terms of an integral

Published on 13 Feb 2021 - 16:25

score 109 · Answer 2 · 2021-02-14 07:39:37

109

Views

Open cover of ℚ that cannot be reduced to a finite subcover

Published on 14 Feb 2021 - 7:39

score 551 · Answer 3 · 2021-02-14 10:39:19

551

Views

Showing a set is Borel and a function is Borel measurable.

Published on 14 Feb 2021 - 10:39

score 39 · Answer 4 · 2021-02-21 10:26:25

39

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Give example of applications in maths domains or more generally of the use of Borel measure that is not a Radon measure

Published on 21 Feb 2021 - 10:26

score 307 · Answer 5 · 2021-02-23 00:17:01

307

Views

How to prove a function is a regular Borel measure on $\mathbb{R}$

Published on 23 Feb 2021 - 0:17

score 55 · Answer 6 · 2021-02-25 17:35:14

55

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Prove that an interval is NOT in the sigma algebra generated by a collection.

Published on 25 Feb 2021 - 17:35

score 62 · Answer 7 · 2021-03-01 05:53:53

62

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Sum and product of two non-Borel measurable functions being Borel measurable

Published on 01 Mar 2021 - 5:53

score 28 · Answer 8 · 2021-03-02 07:42:08

28

Views

Borel/ Lebesgue on $\chi_D$ for $D = \{(x,x):x \in E \}$

Published on 02 Mar 2021 - 7:42

score 103 · Answer 9 · 2026-03-26 19:15:47

103

Views

Borel Measures on $\mathbb{R}$

Published on 26 Mar 2026 - 19:15

score 86 · Answer 10 · 2026-03-27 07:18:35

86

Views

For a regular Borel measure with infinite support, how to find a decreasing sequence of positive measure open sets?

Published on 27 Mar 2026 - 7:18

score 65 · Answer 11 · 2021-03-23 13:09:17

65

Views

Borel set in an uncountably product space with product topology

Published on 23 Mar 2021 - 13:09

score 21 · Answer 12 · 2021-04-01 16:48:14

21

Views

existence of Borel measurable function

Published on 01 Apr 2021 - 16:48

score 395 · Answer 13 · 2021-04-08 15:22:30

395

Views

prove that there exists $E$ such that $m(X/E)=0$ and $\lim_k(f_k(x))=0$ for all $x\in E$.

Published on 08 Apr 2021 - 15:22

score 46 · Answer 14 · 2026-03-27 10:13:01

46

Views

$X$ is locally compact, $\sigma$-compact, $T_2$. $\mu$ be a borel measure which is outer and finite on compact sets. Then $\mu$ is inner measure.

Published on 27 Mar 2026 - 10:13

score 69 · Answer 15 · 2021-04-19 10:59:29

69

Views

Continuity of finite Borel measures on Euclidean subspaces

Published on 19 Apr 2021 - 10:59

List Question

measure defined in terms of an integral

Open cover of ℚ that cannot be reduced to a finite subcover

Showing a set is Borel and a function is Borel measurable.

Give example of applications in maths domains or more generally of the use of Borel measure that is not a Radon measure

How to prove a function is a regular Borel measure on $\mathbb{R}$

Prove that an interval is NOT in the sigma algebra generated by a collection.

Sum and product of two non-Borel measurable functions being Borel measurable

Borel/ Lebesgue on $\chi_D$ for $D = \{(x,x):x \in E \}$

Borel Measures on $\mathbb{R}$

For a regular Borel measure with infinite support, how to find a decreasing sequence of positive measure open sets?

Borel set in an uncountably product space with product topology

existence of Borel measurable function

prove that there exists $E$ such that $m(X/E)=0$ and $\lim_k(f_k(x))=0$ for all $x\in E$.

$X$ is locally compact, $\sigma$-compact, $T_2$. $\mu$ be a borel measure which is outer and finite on compact sets. Then $\mu$ is inner measure.

Continuity of finite Borel measures on Euclidean subspaces

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