Question

Is it possible to write the preimage of a Lebesgue integrable function as the union of nonmeasurable sets?

score 85 · Answer 1 · 2026-04-11 10:49:28

85

Views

Is it possible to write the preimage of a Lebesgue integrable function as the union of nonmeasurable sets?

Published on 11 Apr 2026 - 10:49

score 364 · Answer 2 · 2026-04-15 06:53:06

364

Views

Verify that $R^d$ with the usual Lebesgue measure is separable

Published on 15 Apr 2026 - 6:53

score 165 · Answer 3 · 2026-04-13 20:01:13

If $\mathbb E[X\mid Y]$ can be seen as a projection why $\mathbb E[X\mid Y]=\frac{\mathbb E[XY]}{\mathbb E[Y^2]}Y$ is not always true?

score 64 · Answer 4 · 2026-05-11 06:44:24

64

Views

Unicity of the projection on a closed convex subset of $L^p$

Published on 11 May 2026 - 6:44

score 60 · Answer 5 · 2026-04-12 22:55:51

60

Views

Measurable Version of a Banach Space Valued Process

Published on 12 Apr 2026 - 22:55

score 646 · Answer 6 · 2026-04-09 06:07:23

646

Views

A counterexample to the epsilon-delta criterion for Absolute Continuity of Measures

Published on 09 Apr 2026 - 6:07

score 184 · Answer 7 · 2026-05-10 18:30:33

184

Views

formula of the Lebesgue measure of $E$ in terms of the integral regarding the Hausdorff measure

Published on 10 May 2026 - 18:30

score 461 · Answer 8 · 2026-04-12 16:03:07

461

Views

Application of Ulam Lemma

Published on 12 Apr 2026 - 16:03

score 210 · Answer 9 · 2026-04-15 02:23:22

210

Views

$\sigma\{A_i \cap B_j\}=\sigma\{\{A_i\} \cup \{B_j\}\}=\sigma\{\sigma\{A_i\} \cup \sigma\{B_j\}\}$

Published on 15 Apr 2026 - 2:23

score 475 · Answer 10 · 2026-04-13 14:36:15

475

Views

Example of a set which is not in the product $\sigma$-algebra

Published on 13 Apr 2026 - 14:36

score 200 · Answer 11 · 2026-04-10 16:02:36

200

Views

Folland Chapter 3: Bounded Variation Difficulty Understanding

Published on 10 Apr 2026 - 16:02

score 49 · Answer 12 · 2026-05-10 15:24:04

49

Views

A double integral being finite implies the corresponding Borel-measure is $= 0$ on singletons

Published on 10 May 2026 - 15:24

score 611 · Answer 13 · 2026-05-10 19:01:20

611

Views

Complex Borel Measure and Bounded Variation Functions

Published on 10 May 2026 - 19:01

score 349 · Answer 14 · 2026-04-15 11:18:14

349

Views

Showing a sequence of functions $f_n$ does not converge uniformly to $f$ on an interval.

Published on 15 Apr 2026 - 11:18

score 133 · Answer 15 · 2026-04-16 21:43:11

133

Views

Is it true $P(\cap_{n=1}^\infty \cup_{m=n}^\infty A_m)=\lim_{n \to \infty}P(\cup_{m=n}^\infty A_m)$?

Published on 16 Apr 2026 - 21:43

List Question

Is it possible to write the preimage of a Lebesgue integrable function as the union of nonmeasurable sets?

Verify that $R^d$ with the usual Lebesgue measure is separable

If $\mathbb E[X\mid Y]$ can be seen as a projection why $\mathbb E[X\mid Y]=\frac{\mathbb E[XY]}{\mathbb E[Y^2]}Y$ is not always true?

Unicity of the projection on a closed convex subset of $L^p$

Measurable Version of a Banach Space Valued Process

A counterexample to the epsilon-delta criterion for Absolute Continuity of Measures

formula of the Lebesgue measure of $E$ in terms of the integral regarding the Hausdorff measure

Application of Ulam Lemma

$\sigma\{A_i \cap B_j\}=\sigma\{\{A_i\} \cup \{B_j\}\}=\sigma\{\sigma\{A_i\} \cup \sigma\{B_j\}\}$

Example of a set which is not in the product $\sigma$-algebra

Folland Chapter 3: Bounded Variation Difficulty Understanding

A double integral being finite implies the corresponding Borel-measure is $= 0$ on singletons

Complex Borel Measure and Bounded Variation Functions

Showing a sequence of functions $f_n$ does not converge uniformly to $f$ on an interval.

Is it true $P(\cap_{n=1}^\infty \cup_{m=n}^\infty A_m)=\lim_{n \to \infty}P(\cup_{m=n}^\infty A_m)$?

Trending Questions

Popular # Hahtags

Popular Questions