Question

When do a collection of rational balls with changing radius cover $\mathbb{R}$?

score 86 · Answer 1 · 2019-10-21 15:38:03

86

Views

When do a collection of rational balls with changing radius cover $\mathbb{R}$?

Published on 21 Oct 2019 - 15:38

score 110 · Answer 2 · 2026-04-10 08:46:59

110

Views

Proving equivalence of two definitions of Lebesgue measure.

Published on 10 Apr 2026 - 8:46

score 530 · Answer 3 · 2019-10-23 02:45:29

530

Views

If $E_1 \cup E_2$ is measurable with $λ^\ast(E_1 \cup E_2) = λ^\ast(E_1)+ λ^\ast(E_2)$, then $E_1$ and $E_2$ are measurable.

Published on 23 Oct 2019 - 2:45

score 37 · Answer 4 · 2026-04-10 19:37:17

37

Views

On basic measure and integration

Published on 10 Apr 2026 - 19:37

score 76 · Answer 5 · 2019-10-23 12:51:17

76

Views

For what measurable set $A \subset \Bbb R^2$ and Lipschitz function $f$ is $f(A) \subset \Bbb R$ not measurable?

Published on 23 Oct 2019 - 12:51

score 83 · Answer 6 · 2019-10-23 13:50:21

83

Views

Given a Lebesgue measurable set, how to prove its image is Lebesgue measurable

Published on 23 Oct 2019 - 13:50

score 112 · Answer 7 · 2026-04-10 23:35:49

112

Views

Trouble understanding axiom of choice to construct non measurable set

Published on 10 Apr 2026 - 23:35

score 43 · Answer 8 · 2019-10-24 03:01:01

43

Views

question about sigma algebra generated by a set

Published on 24 Oct 2019 - 3:01

score 170 · Answer 9 · 2026-04-03 04:18:59

170

Views

On the Bourbaki Measures and Radon Measures

Published on 03 Apr 2026 - 4:18

score 110 · Answer 10 · 2019-10-24 08:10:05

110

Views

Construction of an open set $E \subset \mathbb{R}^n$ such that $\lim_{r \to 0^+} \frac{|E \cap B_r(0)|}{|B_r(0)|}$ DNE

Published on 24 Oct 2019 - 8:10

score 37 · Answer 11 · 2019-10-24 09:44:37

37

Views

Suppose $E\subset\mathbb{R}^{n}$ with $m(E) = 0$. Is $m(\{(x,y)\in\mathbb{R}^{2n}: x-y\in E \})=0$?

Published on 24 Oct 2019 - 9:44

score 151 · Answer 12 · 2019-10-24 10:39:19

151

Views

The symmetric difference is Lebesgue measurable

Published on 24 Oct 2019 - 10:39

score 388 · Answer 13 · 2019-10-24 21:12:08

388

Views

Prove that there exists $B$ such that $\mu(f(B))>0$.

Published on 24 Oct 2019 - 21:12

score 759 · Answer 14 · 2026-04-09 12:17:06

759

Views

proof about a sigma algebra generated by a random variable

Published on 09 Apr 2026 - 12:17

score 36 · Answer 15 · 2019-10-25 02:38:10

36

Views

The set of vectors perpendicular to some fixed $y \in \mathbb{R}^n \backslash \{0\}$ has Lebesgue measure greater than $0$.

Published on 25 Oct 2019 - 2:38

List Question

When do a collection of rational balls with changing radius cover $\mathbb{R}$?

Proving equivalence of two definitions of Lebesgue measure.

If $E_1 \cup E_2$ is measurable with $λ^\ast(E_1 \cup E_2) = λ^\ast(E_1)+ λ^\ast(E_2)$, then $E_1$ and $E_2$ are measurable.

On basic measure and integration

For what measurable set $A \subset \Bbb R^2$ and Lipschitz function $f$ is $f(A) \subset \Bbb R$ not measurable?

Given a Lebesgue measurable set, how to prove its image is Lebesgue measurable

Trouble understanding axiom of choice to construct non measurable set

question about sigma algebra generated by a set

On the Bourbaki Measures and Radon Measures

Construction of an open set $E \subset \mathbb{R}^n$ such that $\lim_{r \to 0^+} \frac{|E \cap B_r(0)|}{|B_r(0)|}$ DNE

Suppose $E\subset\mathbb{R}^{n}$ with $m(E) = 0$. Is $m(\{(x,y)\in\mathbb{R}^{2n}: x-y\in E \})=0$?

The symmetric difference is Lebesgue measurable

Prove that there exists $B$ such that $\mu(f(B))>0$.

proof about a sigma algebra generated by a random variable

The set of vectors perpendicular to some fixed $y \in \mathbb{R}^n \backslash \{0\}$ has Lebesgue measure greater than $0$.

Trending Questions

Popular # Hahtags

Popular Questions