List questions from measure-theory

Published on 15 Apr 2026 - 19:39

58

Views

Why does one take $\inf ||x-a||$ for $d(x,A)$?

Published on 10 Apr 2026 - 18:06

4k

Views

Is the pre-image of a Borel set by a continuous function a Borel set? Is it an open set?

Published on 12 Apr 2026 - 5:35

415

Views

Sigma Algebras, Dynkin Systems, and Pi Systems

Published on 25 Apr 2026 - 2:31

407

Views

What is the inutition behind the Caratheodory criterion for measurable sets?

Published on 12 Apr 2026 - 10:35

439

Views

Measurable sets in sigma algebra generated by $A$

Published on 10 Apr 2026 - 23:31

242

Views

The set of all probability measures on $(\Xi,\mathcal{B})$ is weakly compact with respect to topology of total variation?

Published on 12 Apr 2026 - 13:57

112

Views

Measures uniquely determined by their restriction to $ C_0^\infty $

Published on 14 Apr 2026 - 7:02

1.8k

Views

Convergence in distribution of independent random variables

Published on 08 Apr 2026 - 18:54

45

Views

$f:\Omega \rightarrow \mathbb{R}$ integrable $\Leftrightarrow$ $\exists g \ge 0$ so that $\int_{|f|\ge g}|f| \, \mathrm{d}\mu < \varepsilon$

Published on 16 Apr 2026 - 16:20

156

Views

Convergence in distribution and convergence of variance

Published on 12 Apr 2026 - 22:50

76

Views

$f \in L^1(\mathbb{R})$ and $\lim_{|x| \to +\infty} f(x) = 0$ implies $\lim_{|x| \to +\infty} \int_{\mathbb{R}} f(x-y) d\mu(y) = 0$

Published on 09 Apr 2026 - 13:38

1.4k

Views

Are convex functions measurable?

Published on 09 Apr 2026 - 21:00

112

Views

Question about relation between Lipschitz continuity and convexity

Published on 12 Apr 2026 - 21:32

248

Views

Baby Rudin Exercise 11.10 - measure theory

Published on 12 Apr 2026 - 21:03

List Question

Example of non-measurable sets on $\mathbb R^{\mathbb N}$

Why does one take $\inf ||x-a||$ for $d(x,A)$?

Is the pre-image of a Borel set by a continuous function a Borel set? Is it an open set?

Sigma Algebras, Dynkin Systems, and Pi Systems

What is the inutition behind the Caratheodory criterion for measurable sets?

Measurable sets in sigma algebra generated by $A$

The set of all probability measures on $(\Xi,\mathcal{B})$ is weakly compact with respect to topology of total variation?

Measures uniquely determined by their restriction to $ C_0^\infty $

Convergence in distribution of independent random variables

$f:\Omega \rightarrow \mathbb{R}$ integrable $\Leftrightarrow$ $\exists g \ge 0$ so that $\int_{|f|\ge g}|f| \, \mathrm{d}\mu < \varepsilon$

Convergence in distribution and convergence of variance

$f \in L^1(\mathbb{R})$ and $\lim_{|x| \to +\infty} f(x) = 0$ implies $\lim_{|x| \to +\infty} \int_{\mathbb{R}} f(x-y) d\mu(y) = 0$

Are convex functions measurable?

Question about relation between Lipschitz continuity and convexity

Baby Rudin Exercise 11.10 - measure theory

Trending Questions

Popular # Hahtags

Popular Questions