Question

Show that an affine subspace of $\mathbb{R}^d$ is a Borel set.

score 35 · Answer 1 · 2026-03-27 22:53:02

35

Views

Show that an affine subspace of $\mathbb{R}^d$ is a Borel set.

Published on 27 Mar 2026 - 22:53

score 40 · Answer 2 · 2024-03-10 20:26:27

40

Views

Question About The Generation of The Borel $\sigma$-Algebra on $\mathbb{R}^d$

Published on 10 Mar 2024 - 20:26

score 29 · Answer 3 · 2026-03-27 00:56:54

29

Views

Why is transfinite recursion needed for the construction of Borel sets?

Published on 27 Mar 2026 - 0:56

score 102 · Answer 4 · 2024-03-19 05:22:16

102

Views

Borel and analytic sets - Why did Jech do this?

Published on 19 Mar 2024 - 5:22

score 20 · Answer 5 · 2026-03-26 02:48:58

20

Views

For a Borel subset $B$ of a complete, seperable metric space $S$ and $\epsilon > 0$, there exists compact $C \subset S$ with $P(B) < P(C) + \epsilon$.

Published on 26 Mar 2026 - 2:48

score 22 · Answer 6 · 2024-03-21 11:01:49

22

Views

Complete, standard Borel spaces? (Complete Borel isomorphic probability spaces)

Published on 21 Mar 2024 - 11:01

score 53 · Answer 7 · 2024-03-21 16:18:30

53

Views

Is the Borel $\sigma$-Algebra on a subset of $\mathbb{R}^d$ complete?

Published on 21 Mar 2024 - 16:18

score 41 · Answer 8 · 2024-03-21 20:17:57

41

Views

Complement of a set of measure zero is dense in $[a,b]$?

Published on 21 Mar 2024 - 20:17

score 24 · Answer 9 · 2026-02-23 23:09:20

24

Views

Limit of the measure of the delta neighborhood of Borel Sets.

Published on 23 Feb 2026 - 23:09

score 226 · Answer 10 · 2024-03-26 03:42:06

226

Views

Why is intersection of open sets not closed under countable unions?

Published on 26 Mar 2024 - 3:42

score 219 · Answer 11 · 2015-04-02 13:33:52

219

Views

Prove $\phi(t)=\frac 1t$ is Borel function.

Published on 02 Apr 2015 - 13:33

score 575 · Answer 12 · 2015-04-29 05:23:37

575

Views

Inner regularity of the Haar measure

Published on 29 Apr 2015 - 5:23

score 2.6k · Answer 13 · 2026-03-24 16:01:55

2.6k

Views

Why do we consider Borel sets instead of (Lebesgue) measurable sets?

Published on 24 Mar 2026 - 16:01

score 2.6k · Answer 14 · 2026-03-22 10:15:55

2.6k

Views

Proof that the Cardinality of Borel Sets on $\mathbb R$ is $c$ without using the ordinals .

Published on 22 Mar 2026 - 10:15

score 660 · Answer 15 · 2026-03-25 19:05:46

660

Views

If $E$ is a measurable set, how to prove that there are Borel sets $A$ and $B$ such that $A\subset E$, $E\subset B$ and $m(A)=m(E)=m(B)$?

Published on 25 Mar 2026 - 19:05

List Question

Show that an affine subspace of $\mathbb{R}^d$ is a Borel set.

Question About The Generation of The Borel $\sigma$-Algebra on $\mathbb{R}^d$

Why is transfinite recursion needed for the construction of Borel sets?

Borel and analytic sets - Why did Jech do this?

For a Borel subset $B$ of a complete, seperable metric space $S$ and $\epsilon > 0$, there exists compact $C \subset S$ with $P(B) < P(C) + \epsilon$.

Complete, standard Borel spaces? (Complete Borel isomorphic probability spaces)

Is the Borel $\sigma$-Algebra on a subset of $\mathbb{R}^d$ complete?

Complement of a set of measure zero is dense in $[a,b]$?

Limit of the measure of the delta neighborhood of Borel Sets.

Why is intersection of open sets not closed under countable unions?

Prove $\phi(t)=\frac 1t$ is Borel function.

Inner regularity of the Haar measure

Why do we consider Borel sets instead of (Lebesgue) measurable sets?

Proof that the Cardinality of Borel Sets on $\mathbb R$ is $c$ without using the ordinals .

If $E$ is a measurable set, how to prove that there are Borel sets $A$ and $B$ such that $A\subset E$, $E\subset B$ and $m(A)=m(E)=m(B)$?

Trending Questions

Popular # Hahtags

Popular Questions