Question

Baire $\sigma$-algebra is generated by closed $G_{\delta}$ sets

score 274 · Answer 1 · 2026-04-13 23:14:38

274

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Baire $\sigma$-algebra is generated by closed $G_{\delta}$ sets

Published on 13 Apr 2026 - 23:14

score 254 · Answer 2 · 2026-04-29 12:54:55

254

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What is the Stone space of the free sigma-algebra on countably many generators

Published on 29 Apr 2026 - 12:54

score 139 · Answer 3 · 2026-04-11 04:21:10

139

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A sequence for which the running average converges to something other than the expected value

Published on 11 Apr 2026 - 4:21

score 77 · Answer 4 · 2026-04-08 22:38:02

77

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Measure Theory and Cantor Set (couterexample).

Published on 08 Apr 2026 - 22:38

score 46 · Answer 5 · 2026-04-16 15:01:09

Show that $f: C_{n} \times C_{n}/2 \to [0,1]$ given by $f(x,y) = x+y$ is surjective. ($C_{n}$ is the $n$-step of construction of the Cantor Set)

score 82 · Answer 6 · 2026-04-12 14:48:23

82

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How can we find the joint probability density function here?

Published on 12 Apr 2026 - 14:48

score 234 · Answer 7 · 2026-04-12 10:01:04

234

Views

Exemples for strict inequalities in measure theory.

Published on 12 Apr 2026 - 10:01

score 163 · Answer 8 · 2026-04-13 08:41:24

163

Views

Minkowski's theorem generalization

Published on 13 Apr 2026 - 8:41

score 39 · Answer 9 · 2026-04-14 00:28:28

39

Views

Borel sets and Lebesgue-Stieltjes measures

Published on 14 Apr 2026 - 0:28

score 48 · Answer 10 · 2026-04-13 06:09:11

48

Views

A problem with a Borel set, a continuous function with a fixed point and a non-null fixed set

Published on 13 Apr 2026 - 6:09

score 87 · Answer 11 · 2026-04-15 19:19:33

87

Views

$\lim\inf f_n $ is measurable.

Published on 15 Apr 2026 - 19:19

score 97 · Answer 12 · 2026-04-13 14:26:17

97

Views

A problem with a Borel set, a continuous function with a fixed point and a non-null fixed set, II

Published on 13 Apr 2026 - 14:26

score 249 · Answer 13 · 2026-04-14 10:56:33

Is $\mathcal B(\mathbb R^n)$ generated by $\{E_1\times\cdots\times E_n:E_1,\ldots,E_n\in\mathcal B(\mathbb R)\}$?

score 49 · Answer 14 · 2026-04-15 00:10:02

49

Views

Does non-zero set contain non-zero sets in each coordinate?

Published on 15 Apr 2026 - 0:10

score 94 · Answer 15 · 2026-04-13 23:43:51

94

Views

Show some properties of the marginal density distribution of two random variables

Published on 13 Apr 2026 - 23:43

List Question

Baire $\sigma$-algebra is generated by closed $G_{\delta}$ sets

What is the Stone space of the free sigma-algebra on countably many generators

A sequence for which the running average converges to something other than the expected value

Measure Theory and Cantor Set (couterexample).

Show that $f: C_{n} \times C_{n}/2 \to [0,1]$ given by $f(x,y) = x+y$ is surjective. ($C_{n}$ is the $n$-step of construction of the Cantor Set)

How can we find the joint probability density function here?

Exemples for strict inequalities in measure theory.

Minkowski's theorem generalization

Borel sets and Lebesgue-Stieltjes measures

A problem with a Borel set, a continuous function with a fixed point and a non-null fixed set

$\lim\inf f_n $ is measurable.

A problem with a Borel set, a continuous function with a fixed point and a non-null fixed set, II

Is $\mathcal B(\mathbb R^n)$ generated by $\{E_1\times\cdots\times E_n:E_1,\ldots,E_n\in\mathcal B(\mathbb R)\}$?

Does non-zero set contain non-zero sets in each coordinate?

Show some properties of the marginal density distribution of two random variables

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