Question

How to prove these sets are in the $\sigma$-algebra?

score 31 · Answer 1 · 2026-04-13 19:52:02

31

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How to prove these sets are in the $\sigma$-algebra?

Published on 13 Apr 2026 - 19:52

score 48 · Answer 2 · 2026-04-17 14:36:36

48

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Evaluate $\displaystyle m\left( \bigcup_{x \in C} \left( x - \frac{1}{20}, x+\frac{1}{20} \right) \right)$ where $C$ is Cantor set.

Published on 17 Apr 2026 - 14:36

score 57 · Answer 3 · 2026-04-20 07:38:04

57

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Different forms of uniform integrability proof from Schilling

Published on 20 Apr 2026 - 7:38

score 1.2k · Answer 4 · 2026-04-10 23:52:44

1.2k

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Proof check: continuous function with compact support is $\lambda^d$ integrable

Published on 10 Apr 2026 - 23:52

score 33 · Answer 5 · 2026-04-10 16:10:38

33

Views

Dominated convergence to find limit of integral

Published on 10 Apr 2026 - 16:10

score 98 · Answer 6 · 2026-04-16 07:12:59

98

Views

$\sigma$ additivity Peano-Jordan meausure

Published on 16 Apr 2026 - 7:12

score 46 · Answer 7 · 2026-04-16 01:54:21

46

Views

dual space of a locally uniform space

Published on 16 Apr 2026 - 1:54

score 37 · Answer 8 · 2026-04-13 07:49:33

37

Views

How to prove sub-additivity of the Lebesgue measure for open sets?

Published on 13 Apr 2026 - 7:49

score 54 · Answer 9 · 2026-04-08 01:58:52

54

Views

Is there a universal connection between localizable measure $μ$ and action $act$?

Published on 08 Apr 2026 - 1:58

score 163 · Answer 10 · 2026-04-16 07:06:23

163

Views

Show that $\int_\Omega(\sum_{n=1}^{\infty}f_n)d\mu = \sum_{n=1}^{\infty}\int_\Omega f_nd\mu$ without monotone convergence

Published on 16 Apr 2026 - 7:06

score 179 · Answer 11 · 2026-04-13 04:12:21

179

Views

Help with proof that convergence in measure is equivalent to Cauchy convergence in measure if the space is sigma-finite.

Published on 13 Apr 2026 - 4:12

score 61 · Answer 12 · 2026-04-15 23:16:48

61

Views

If a process is $\mathcal{F}_t$-progressive then it is $\mathcal{F}_t$-adapted

Published on 15 Apr 2026 - 23:16

score 305 · Answer 13 · 2026-04-14 05:08:09

305

Views

Sum of infinitely many integrals over a bounded interval

Published on 14 Apr 2026 - 5:08

score 32 · Answer 14 · 2026-04-15 23:02:35

32

Views

Show that ${\cal A_\sigma(K)=B}(X)$

Published on 15 Apr 2026 - 23:02

score 58 · Answer 15 · 2026-04-14 16:36:06

58

Views

Uniform integrability, Lebesgue Nikodym Theorem , Terrence Tao's Notes

Published on 14 Apr 2026 - 16:36

List Question

How to prove these sets are in the $\sigma$-algebra?

Evaluate $\displaystyle m\left( \bigcup_{x \in C} \left( x - \frac{1}{20}, x+\frac{1}{20} \right) \right)$ where $C$ is Cantor set.

Different forms of uniform integrability proof from Schilling

Proof check: continuous function with compact support is $\lambda^d$ integrable

Dominated convergence to find limit of integral

$\sigma$ additivity Peano-Jordan meausure

dual space of a locally uniform space

How to prove sub-additivity of the Lebesgue measure for open sets?

Is there a universal connection between localizable measure $μ$ and action $act$?

Show that $\int_\Omega(\sum_{n=1}^{\infty}f_n)d\mu = \sum_{n=1}^{\infty}\int_\Omega f_nd\mu$ without monotone convergence

Help with proof that convergence in measure is equivalent to Cauchy convergence in measure if the space is sigma-finite.

If a process is $\mathcal{F}_t$-progressive then it is $\mathcal{F}_t$-adapted

Sum of infinitely many integrals over a bounded interval

Show that ${\cal A_\sigma(K)=B}(X)$

Uniform integrability, Lebesgue Nikodym Theorem , Terrence Tao's Notes

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