List questions from borel-sets

Published on 25 Mar 2026 - 12:13

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Product of locally Borel subsets is locally Borel

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82

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Question about complement of borel set

Published on 17 May 2023 - 17:55

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Are Borel sets in $\mathbb{R}^n$ Cartesian products of Borel sets in $\mathbb{R}$?

Published on 17 May 2023 - 19:47

91

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Continuous (or Lipschitz) map sends open sets onto Borel sets

Published on 22 May 2023 - 15:23

29

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Linear maps send open sets onto Borel sets

Published on 23 May 2023 - 14:07

65

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Are these probabilities orthogonal?

Published on 25 Mar 2026 - 18:52

29

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Image of half-space through linear transform is Borel measurable

Published on 24 May 2023 - 7:52

89

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Intersection of a Borel set and its translation

Published on 06 Jun 2023 - 1:06

32

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Whether the function $(x,x')\mapsto\rho\big(f(x),f(x')\big)$ is Borel for a Borel map $f\colon (X,d)\to (Y,\rho)$ with $(Y,\rho)$ not being separable?

Published on 26 Mar 2026 - 14:34

53

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Countable generation of the Borel measure algebra

Published on 04 Jul 2023 - 9:17

116

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Exercise 1.7.15 from Salamon's Functional Analysis

Published on 06 Jul 2023 - 9:26

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Show that if $X,Y$ are topological spaces and $f:X\to Y$ is a continous function , then $f$ is a Borel measurable.

Published on 25 Mar 2026 - 18:59

30

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How to prove that $\{(s, t) \in \mathbb R^2 : s \le t \le s+1 \text{ and } t \in A\}$ is a Borel set?

Published on 25 Jul 2023 - 22:48

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The existence of measurable subsets in non-mesurable sets

Published on 25 Mar 2026 - 20:18

List Question

Reverse mathematics and determinacy theorems

Product of locally Borel subsets is locally Borel

Question about complement of borel set

Are Borel sets in $\mathbb{R}^n$ Cartesian products of Borel sets in $\mathbb{R}$?

Continuous (or Lipschitz) map sends open sets onto Borel sets

Linear maps send open sets onto Borel sets

Are these probabilities orthogonal?

Image of half-space through linear transform is Borel measurable

Intersection of a Borel set and its translation

Whether the function $(x,x')\mapsto\rho\big(f(x),f(x')\big)$ is Borel for a Borel map $f\colon (X,d)\to (Y,\rho)$ with $(Y,\rho)$ not being separable?

Countable generation of the Borel measure algebra

Exercise 1.7.15 from Salamon's Functional Analysis

Show that if $X,Y$ are topological spaces and $f:X\to Y$ is a continous function , then $f$ is a Borel measurable.

How to prove that $\{(s, t) \in \mathbb R^2 : s \le t \le s+1 \text{ and } t \in A\}$ is a Borel set?

The existence of measurable subsets in non-mesurable sets

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