Question

Interesting nonmeasurable function, need help understanding

score 53 · Answer 1 · 2026-04-08 21:44:51

53

Views

Interesting nonmeasurable function, need help understanding

Published on 08 Apr 2026 - 21:44

score 590 · Answer 2 · 2026-04-14 10:19:14

590

Views

Show $\operatorname{Char}_{E}(x)$ is measurable iff $E$ is measurable

Published on 14 Apr 2026 - 10:19

score 1.7k · Answer 3 · 2026-04-12 18:20:18

1.7k

Views

Showing function is measurable iff it's measurable for each rational

Published on 12 Apr 2026 - 18:20

score 130 · Answer 4 · 2026-04-14 20:57:19

130

Views

$f$ is measurable, $B$ is a Borel set $\rightarrow f^{-1}(B)$ is measurable.

Published on 14 Apr 2026 - 20:57

score 71 · Answer 5 · 2026-04-17 14:07:59

71

Views

If $f,g: D \rightarrow \mathbb{R}$ are measurable, show $\{f>g\}=\{x \in D \mid f(x) > g(x)\}$ is measurable.

Published on 17 Apr 2026 - 14:07

score 98 · Answer 6 · 2026-04-11 12:11:32

98

Views

Measurable functions closed under monotone limits

Published on 11 Apr 2026 - 12:11

score 70 · Answer 7 · 2026-04-14 18:37:56

70

Views

Estimation of the tail of a weighted probability distribution

Published on 14 Apr 2026 - 18:37

score 276 · Answer 8 · 2026-04-14 01:38:10

276

Views

Lebesgue measure of set of spheres with irrational radii

Published on 14 Apr 2026 - 1:38

score 325 · Answer 9 · 2026-04-13 23:17:03

325

Views

Prove that a subset of $\mathbb{R}$ with positive outer measure contains almost a whole interval

Published on 13 Apr 2026 - 23:17

score 134 · Answer 10 · 2026-04-14 15:44:11

134

Views

Construction of measure in Riesz Repr. Thm. (Rudin)

Published on 14 Apr 2026 - 15:44

score 451 · Answer 11 · 2026-04-17 10:06:03

451

Views

$m(E)=1$ $\rightarrow$ there exists measurable $F$ s.t. $m(F)=1/2$

Published on 17 Apr 2026 - 10:06

score 99 · Answer 12 · 2026-04-12 10:16:22

99

Views

On Lebesgue measure in 3 dimensional euclidean space

Published on 12 Apr 2026 - 10:16

score 132 · Answer 13 · 2026-04-17 13:44:47

132

Views

Does the relation lim sup$A_n=$lim inf $A_n$ implicates that the sets $A_n$ are necessarily increasing or decreasing ?

Published on 17 Apr 2026 - 13:44

score 177 · Answer 14 · 2026-04-15 10:38:41

177

Views

Radon-Nikodym property

Published on 15 Apr 2026 - 10:38

score 162 · Answer 15 · 2026-04-07 23:02:27

162

Views

Algorithm on how to use Fubini's Theorem

Published on 07 Apr 2026 - 23:02

List Question

Interesting nonmeasurable function, need help understanding

Show $\operatorname{Char}_{E}(x)$ is measurable iff $E$ is measurable

Showing function is measurable iff it's measurable for each rational

$f$ is measurable, $B$ is a Borel set $\rightarrow f^{-1}(B)$ is measurable.

If $f,g: D \rightarrow \mathbb{R}$ are measurable, show $\{f>g\}=\{x \in D \mid f(x) > g(x)\}$ is measurable.

Measurable functions closed under monotone limits

Estimation of the tail of a weighted probability distribution

Lebesgue measure of set of spheres with irrational radii

Prove that a subset of $\mathbb{R}$ with positive outer measure contains almost a whole interval

Construction of measure in Riesz Repr. Thm. (Rudin)

$m(E)=1$ $\rightarrow$ there exists measurable $F$ s.t. $m(F)=1/2$

On Lebesgue measure in 3 dimensional euclidean space

Does the relation lim sup$A_n=$lim inf $A_n$ implicates that the sets $A_n$ are necessarily increasing or decreasing ?

Radon-Nikodym property

Algorithm on how to use Fubini's Theorem

Trending Questions

Popular # Hahtags

Popular Questions