Question

Extending a measurable function to Riemann sphere

score 34 · Answer 1 · 2026-03-25 20:17:06

34

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Extending a measurable function to Riemann sphere

Published on 25 Mar 2026 - 20:17

score 26 · Answer 2 · 2026-03-25 15:41:15

26

Views

For non second-countable TVS, is the sum of measurable functions again measurable?

Published on 25 Mar 2026 - 15:41

score 22 · Answer 3 · 2023-08-24 14:40:13

Questions regarding the proof for the set of real numbers that have a decimal expansion with the digit $5$ appearing infinitely often is a Borel set.

score 56 · Answer 4 · 2023-09-03 22:46:53

56

Views

Can $\mathbb R$ be partitioned into two sets with positive measure on every interval?

Published on 03 Sep 2023 - 22:46

score 70 · Answer 5 · 2026-03-25 20:18:04

70

Views

Definition of Borel regular outer measure.

Published on 25 Mar 2026 - 20:18

score 42 · Answer 6 · 2023-10-13 18:36:22

42

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Sigma ring generated by the class of compact subsets of X

Published on 13 Oct 2023 - 18:36

score 24 · Answer 7 · 2026-03-26 13:51:36

24

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When does the Borel $\sigma$-algebra of compact convergence coincide with the product $\sigma$-algebra?

Published on 26 Mar 2026 - 13:51

score 40 · Answer 8 · 2026-03-25 20:17:37

40

Views

Borel set under inner product is borel

Published on 25 Mar 2026 - 20:17

score 48 · Answer 9 · 2023-11-03 12:49:31

48

Views

Borel $\sigma$-algebra and $\sigma$-algebra generated by basis of topology

Published on 03 Nov 2023 - 12:49

score 48 · Answer 10 · 2023-11-07 14:25:38

48

Views

Bounding the symmetric difference of a Borel set with a finite union of intervals

Published on 07 Nov 2023 - 14:25

score 68 · Answer 11 · 2023-11-14 11:46:09

68

Views

$\sigma$-algebra generated by $\{ (a,b) : a,b \in \mathbb{Q} , a<b \}$

Published on 14 Nov 2023 - 11:46

score 50 · Answer 12 · 2026-03-25 21:48:12

50

Views

Subset $V$ Lebesgue measurable, but not Borel measurable

Published on 25 Mar 2026 - 21:48

score 36 · Answer 13 · 2023-11-23 04:05:35

36

Views

If $X \subset \mathbb{R}$ and $f:X \rightarrow \mathbb{R}$ the $X$is a Borel set because $X = f^{-1}(\mathbb{R})$

Published on 23 Nov 2023 - 4:05

score 102 · Answer 14 · 2023-11-23 23:19:38

102

Views

What is meant by " analytic set "?

Published on 23 Nov 2023 - 23:19

score 69 · Answer 15 · 2023-12-01 12:48:23

69

Views

All set in the Borel $\sigma$-algebra of $(\mathbb{R}, \tau_{usual})$, there are only $F_{\sigma}$ and $G_{\delta}$

Published on 01 Dec 2023 - 12:48

List Question

Extending a measurable function to Riemann sphere

For non second-countable TVS, is the sum of measurable functions again measurable?

Questions regarding the proof for the set of real numbers that have a decimal expansion with the digit $5$ appearing infinitely often is a Borel set.

Can $\mathbb R$ be partitioned into two sets with positive measure on every interval?

Definition of Borel regular outer measure.

Sigma ring generated by the class of compact subsets of X

When does the Borel $\sigma$-algebra of compact convergence coincide with the product $\sigma$-algebra?

Borel set under inner product is borel

Borel $\sigma$-algebra and $\sigma$-algebra generated by basis of topology

Bounding the symmetric difference of a Borel set with a finite union of intervals

$\sigma$-algebra generated by $\{ (a,b) : a,b \in \mathbb{Q} , a<b \}$

Subset $V$ Lebesgue measurable, but not Borel measurable

If $X \subset \mathbb{R}$ and $f:X \rightarrow \mathbb{R}$ the $X$is a Borel set because $X = f^{-1}(\mathbb{R})$

What is meant by " analytic set "?

All set in the Borel $\sigma$-algebra of $(\mathbb{R}, \tau_{usual})$, there are only $F_{\sigma}$ and $G_{\delta}$

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