Question

Why is a $\sigma$-algebra the available information?

score 217 · Answer 1 · 2026-04-15 10:55:10

217

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Why is a $\sigma$-algebra the available information?

Published on 15 Apr 2026 - 10:55

score 542 · Answer 2 · 2026-04-13 06:19:42

542

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Are $\sigma$ algebras of multiple coin tosses subsets?

Published on 13 Apr 2026 - 6:19

score 165 · Answer 3 · 2026-04-13 08:27:56

165

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Reference Request - Fubini's Theorem

Published on 13 Apr 2026 - 8:27

score 148 · Answer 4 · 2026-04-15 22:07:33

148

Views

Show that $\text{ sup}_n \int{|f_n|^pdm<C}$ implies $\int_{E}{|f_n|dm}<\epsilon \text{ for large enough } n$.

Published on 15 Apr 2026 - 22:07

score 40 · Answer 5 · 2026-04-16 01:09:19

If $f$ is measurable on $(X,\Sigma)$ then $\{(x,t)\in X\times[0,\infty) \mid f(x)>t\}$ is in $\sigma\left(\Sigma \times \mathcal B([0,\infty)\right)$

score 51 · Answer 6 · 2026-04-26 01:29:37

51

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Differentiating integrals with respect to variables in the integrator

Published on 26 Apr 2026 - 1:29

score 407 · Answer 7 · 2026-04-13 03:43:47

407

Views

Show that the family $A^$ of $\mu^$-measurable sets is $\sigma$-algebra (proof verification)

Published on 13 Apr 2026 - 3:43

score 749 · Answer 8 · 2026-03-25 07:48:53

749

Views

Why is 3 a bad constant in the Vitali covering lemma (infinite version)?

Published on 25 Mar 2026 - 7:48

score 67 · Answer 9 · 2026-04-14 13:47:13

67

Views

Proving that a limiting sequence of sets exists

Published on 14 Apr 2026 - 13:47

score 62 · Answer 10 · 2026-04-15 04:20:27

62

Views

Perimeter of the circle on a complex vector space

Published on 15 Apr 2026 - 4:20

score 189 · Answer 11 · 2026-04-10 23:21:30

189

Views

Calculate improper Lebesgue integral

Published on 10 Apr 2026 - 23:21

score 27 · Answer 12 · 2026-04-10 16:08:43

27

Views

If $\mathcal C=\sigma (\mathcal A)$ does any $B\in \mathcal C$ can be written as union, intersection of element of $\mathcal A$?

Published on 10 Apr 2026 - 16:08

score 258 · Answer 13 · 2026-04-13 06:17:50

258

Views

Applications of Sard's theorem?

Published on 13 Apr 2026 - 6:17

score 141 · Answer 14 · 2026-04-15 20:16:24

141

Views

Approximating stopping times from the right (related to Bass exercise 3.5)

Published on 15 Apr 2026 - 20:16

score 789 · Answer 15 · 2026-04-16 10:14:02

789

Views

Richard Bass' Real Analysis Exercise 3.2

Published on 16 Apr 2026 - 10:14

List Question

Why is a $\sigma$-algebra the available information?

Are $\sigma$ algebras of multiple coin tosses subsets?

Reference Request - Fubini's Theorem

Show that $\text{ sup}_n \int{|f_n|^pdm<C}$ implies $\int_{E}{|f_n|dm}<\epsilon \text{ for large enough } n$.

If $f$ is measurable on $(X,\Sigma)$ then $\{(x,t)\in X\times[0,\infty) \mid f(x)>t\}$ is in $\sigma\left(\Sigma \times \mathcal B([0,\infty)\right)$

Differentiating integrals with respect to variables in the integrator

Show that the family $A^$ of $\mu^$-measurable sets is $\sigma$-algebra (proof verification)

Why is 3 a bad constant in the Vitali covering lemma (infinite version)?

Proving that a limiting sequence of sets exists

Perimeter of the circle on a complex vector space

Calculate improper Lebesgue integral

If $\mathcal C=\sigma (\mathcal A)$ does any $B\in \mathcal C$ can be written as union, intersection of element of $\mathcal A$?

Applications of Sard's theorem?

Approximating stopping times from the right (related to Bass exercise 3.5)

Richard Bass' Real Analysis Exercise 3.2

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