Question

Borel codes and forcing

score 79 · Answer 1 · 2026-03-27 06:15:30

79

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Borel codes and forcing

Published on 27 Mar 2026 - 6:15

score 152 · Answer 2 · 2023-03-07 06:30:30

152

Views

Exercise 4 on p.38 in Exercises 2B in "Measure, Integration & Real Analysis" by Sheldon Axler. Is my solution ok?

Published on 07 Mar 2023 - 6:30

score 65 · Answer 3 · 2023-03-10 10:02:09

65

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Example of measure space $(X,\mathcal B,\mu)$ and measurables and disjoint sets $A,B\in \mathcal B$ , such that: $\mu(A) = \mu(B) = \mu(X)$

Published on 10 Mar 2023 - 10:02

score 99 · Answer 4 · 2023-03-12 11:37:42

99

Views

Exercise 17 on p.39 in Exercises 2B in "Measure, Integration & Real Analysis" by Sheldon Axler. Is my proof ok?

Published on 12 Mar 2023 - 11:37

score 127 · Answer 5 · 2023-03-19 03:19:06

127

Views

Exercise 21 on p.39 in Exercises 2B in "Measure, Integration & Real Analysis" by Sheldon Axler. Is my proof ok?

Published on 19 Mar 2023 - 3:19

score 40 · Answer 6 · 2023-03-19 09:37:48

40

Views

Is union of intersections of horizontal lines and a closed set in the plane a borel set?

Published on 19 Mar 2023 - 9:37

score 31 · Answer 7 · 2023-03-22 17:27:43

31

Views

Inverse image of an arbitrary Borel set $B \in \mathbb{R}$ under $f(x) = \min\{|x|, 1\}$

Published on 22 Mar 2023 - 17:27

score 88 · Answer 8 · 2026-03-25 07:44:07

88

Views

How to use Kolmogorov's law 0 or 1 here?

Published on 25 Mar 2026 - 7:44

score 45 · Answer 9 · 2023-04-07 10:58:32

45

Views

Characterization of a probability measure

Published on 07 Apr 2023 - 10:58

score 41 · Answer 10 · 2023-04-08 16:17:13

41

Views

Showing a set consists of all bounded, Borel-measurable functions on a compact metric space $X$.

Published on 08 Apr 2023 - 16:17

score 62 · Answer 11 · 2023-04-12 13:33:03

62

Views

Borel subsets of $\mathbb{R}$ and membership algorithms

Published on 12 Apr 2023 - 13:33

score 31 · Answer 12 · 2026-03-25 14:26:10

31

Views

Borel Measurability of a subset of $R^{\infty}$

Published on 25 Mar 2026 - 14:26

score 116 · Answer 13 · 2023-04-20 11:06:15

116

Views

Every bounded Borel set can be _perfectly_ approximated by a countable union of disjoint open intervals?

Published on 20 Apr 2023 - 11:06

score 75 · Answer 14 · 2023-04-22 18:14:30

75

Views

Is a subspace of a separable Hilbert space always a Borel set?

Published on 22 Apr 2023 - 18:14

score 29 · Answer 15 · 2023-04-23 13:59:57

29

Views

Is $C^\infty(U)$ a Borel subset of $L^2(U)$ when $U$ is a compact subset of $\mathbb{R}^n$?

Published on 23 Apr 2023 - 13:59

List Question

Borel codes and forcing

Exercise 4 on p.38 in Exercises 2B in "Measure, Integration & Real Analysis" by Sheldon Axler. Is my solution ok?

Example of measure space $(X,\mathcal B,\mu)$ and measurables and disjoint sets $A,B\in \mathcal B$ , such that: $\mu(A) = \mu(B) = \mu(X)$

Exercise 17 on p.39 in Exercises 2B in "Measure, Integration & Real Analysis" by Sheldon Axler. Is my proof ok?

Exercise 21 on p.39 in Exercises 2B in "Measure, Integration & Real Analysis" by Sheldon Axler. Is my proof ok?

Is union of intersections of horizontal lines and a closed set in the plane a borel set?

Inverse image of an arbitrary Borel set $B \in \mathbb{R}$ under $f(x) = \min\{|x|, 1\}$

How to use Kolmogorov's law 0 or 1 here?

Characterization of a probability measure

Showing a set consists of all bounded, Borel-measurable functions on a compact metric space $X$.

Borel subsets of $\mathbb{R}$ and membership algorithms

Borel Measurability of a subset of $R^{\infty}$

Every bounded Borel set can be _perfectly_ approximated by a countable union of disjoint open intervals?

Is a subspace of a separable Hilbert space always a Borel set?

Is $C^\infty(U)$ a Borel subset of $L^2(U)$ when $U$ is a compact subset of $\mathbb{R}^n$?

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