Question

Folland exercise: measure on the countable ordinals

score 53 · Answer 1 · 2026-03-28 10:16:40

53

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Folland exercise: measure on the countable ordinals

Published on 28 Mar 2026 - 10:16

score 220 · Answer 2 · 2020-09-05 06:05:07

220

Views

Is a probability measure completely determined by its values on intervals?

Published on 05 Sep 2020 - 6:05

score 74 · Answer 3 · 2026-03-26 16:05:44

74

Views

Different definitions of independent random variables

Published on 26 Mar 2026 - 16:05

score 53 · Answer 4 · 2020-09-06 07:42:36

53

Views

Constructing a random vector from random variables

Published on 06 Sep 2020 - 7:42

score 60 · Answer 5 · 2020-09-08 06:38:00

60

Views

Counterexample For Measure Equivalence

Published on 08 Sep 2020 - 6:38

score 238 · Answer 6 · 2020-09-10 16:04:57

238

Views

A $G_\delta$ and meager set in $\mathbb{R}$

Published on 10 Sep 2020 - 16:04

score 71 · Answer 7 · 2020-09-10 19:58:01

71

Views

Show that $G_k$ is an open subset of $\mathbb{R}$ for each $k \in \mathbb{Z}^+$

Published on 10 Sep 2020 - 19:58

score 91 · Answer 8 · 2020-09-12 06:27:26

91

Views

How to identify which sets genenrate Borel Sigma Algebra?

Published on 12 Sep 2020 - 6:27

score 1.1k · Answer 9 · 2020-09-13 21:09:23

1.1k

Views

Show that the set of real numbers that have a decimal expansion with the digit 5 appearing infinitely often is a Borel set.

Published on 13 Sep 2020 - 21:09

score 117 · Answer 10 · 2026-03-29 16:28:00

117

Views

A rather non-$F_\sigma$ Borel set

Published on 29 Mar 2026 - 16:28

score 320 · Answer 11 · 2026-03-29 16:30:29

320

Views

Show that the Borel Hierarchy on $\mathbb{R}$ doesn't end at the first infinite ordinal?

Published on 29 Mar 2026 - 16:30

score 100 · Answer 12 · 2020-09-17 17:00:59

100

Views

If $\sigma(\mathcal B)=\sigma(\mathcal T)$ for every basis $\mathcal B$ of topological space $(X,\mathcal T)$, must $T$ be hereditarily Lindelöf?

Published on 17 Sep 2020 - 17:00

score 99 · Answer 13 · 2020-09-20 05:10:01

99

Views

Question about the proof of $\mathcal{B}(\mathbb{R})\otimes\mathcal{B}(\mathbb{R}) = \mathcal{B}(\mathbb{R}^2)$

Published on 20 Sep 2020 - 5:10

score 42 · Answer 14 · 2020-09-20 17:02:23

42

Views

$f$ is measurable in $(X, S)\Leftrightarrow f^{-1}(U) \in S$ for all Borel sets

Published on 20 Sep 2020 - 17:02

score 68 · Answer 15 · 2020-09-22 09:23:01

68

Views

Find $\{u \geq a\}$ for all $a \in \mathbb{R}$, $u(x)=\lfloor x\rfloor$

Published on 22 Sep 2020 - 9:23

List Question

Folland exercise: measure on the countable ordinals

Is a probability measure completely determined by its values on intervals?

Different definitions of independent random variables

Constructing a random vector from random variables

Counterexample For Measure Equivalence

A $G_\delta$ and meager set in $\mathbb{R}$

Show that $G_k$ is an open subset of $\mathbb{R}$ for each $k \in \mathbb{Z}^+$

How to identify which sets genenrate Borel Sigma Algebra?

Show that the set of real numbers that have a decimal expansion with the digit 5 appearing infinitely often is a Borel set.

A rather non-$F_\sigma$ Borel set

Show that the Borel Hierarchy on $\mathbb{R}$ doesn't end at the first infinite ordinal?

If $\sigma(\mathcal B)=\sigma(\mathcal T)$ for every basis $\mathcal B$ of topological space $(X,\mathcal T)$, must $T$ be hereditarily Lindelöf?

Question about the proof of $\mathcal{B}(\mathbb{R})\otimes\mathcal{B}(\mathbb{R}) = \mathcal{B}(\mathbb{R}^2)$

$f$ is measurable in $(X, S)\Leftrightarrow f^{-1}(U) \in S$ for all Borel sets

Find $\{u \geq a\}$ for all $a \in \mathbb{R}$, $u(x)=\lfloor x\rfloor$

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