Question

Property of a supremum of a measure

score 161 · Answer 1 · 2026-04-12 13:13:46

161

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Property of a supremum of a measure

Published on 12 Apr 2026 - 13:13

score 128 · Answer 2 · 2026-04-13 23:05:50

128

Views

Every finite $\sigma$-algebra is of the form...?

Published on 13 Apr 2026 - 23:05

score 56 · Answer 3 · 2026-04-14 11:15:41

56

Views

Compactness of the space of measure-preserving maps

Published on 14 Apr 2026 - 11:15

score 3.7k · Answer 4 · 2026-04-10 17:49:01

3.7k

Views

Intuition of sub sigma-algebra definition

Published on 10 Apr 2026 - 17:49

score 62 · Answer 5 · 2026-04-11 13:57:51

62

Views

What does it mean for a function $f$ to be continuous almost every where with respect to the measure induced by $g$?

Published on 11 Apr 2026 - 13:57

score 69 · Answer 6 · 2026-05-10 22:07:53

69

Views

Measurability of $\mathbb{R}^X$ in a compactification

Published on 10 May 2026 - 22:07

score 57 · Answer 7 · 2026-04-16 21:14:41

57

Views

Show $X = \{f_{n} \leq \epsilon |g|\} \cup \{|f_{n}|\geq \epsilon^{2}\}\cup\{|g|\leq \epsilon\}$

Published on 16 Apr 2026 - 21:14

score 115 · Answer 8 · 2026-04-15 19:47:45

115

Views

If $\int f=0$ then $f=0$ a.e. with $f\geq 0$. Is it true if $f(x) = \infty$?

Published on 15 Apr 2026 - 19:47

score 86 · Answer 9 · 2026-04-07 23:19:09

86

Views

Intuition behind Riemann integrabillity and sequences of partitions

Published on 07 Apr 2026 - 23:19

score 69 · Answer 10 · 2026-04-14 02:49:43

69

Views

Converges Uniformly Example

Published on 14 Apr 2026 - 2:49

score 57 · Answer 11 · 2026-05-11 00:27:20

57

Views

Is there an outer measure on $\mathbb R$ whose only measurable sets are $\mathbb R, \emptyset$?

Published on 11 May 2026 - 0:27

score 42 · Answer 12 · 2026-04-14 20:53:53

42

Views

Existence of a function $f$ with $\mathbb E[X^2f(X)]$ being finite for some $X$ with finite second moment

Published on 14 Apr 2026 - 20:53

score 73 · Answer 13 · 2026-05-11 08:15:29

73

Views

A construction of a Stratonovich type integral for fractional Brownian motion

Published on 11 May 2026 - 8:15

score 127 · Answer 14 · 2026-04-16 17:14:49

127

Views

Prove that $\int_{E}f = \int_{I}\int_{[\phi(x),\psi(x)]}f(x,y)dydx$ using Fubini's Theorem

Published on 16 Apr 2026 - 17:14

score 26 · Answer 15 · 2026-04-25 04:46:36

26

Views

If a probability measure has two densities, then they agree a.e. (Proof verification)

Published on 25 Apr 2026 - 4:46

List Question

Property of a supremum of a measure

Every finite $\sigma$-algebra is of the form...?

Compactness of the space of measure-preserving maps

Intuition of sub sigma-algebra definition

What does it mean for a function $f$ to be continuous almost every where with respect to the measure induced by $g$?

Measurability of $\mathbb{R}^X$ in a compactification

Show $X = \{f_{n} \leq \epsilon |g|\} \cup \{|f_{n}|\geq \epsilon^{2}\}\cup\{|g|\leq \epsilon\}$

If $\int f=0$ then $f=0$ a.e. with $f\geq 0$. Is it true if $f(x) = \infty$?

Intuition behind Riemann integrabillity and sequences of partitions

Converges Uniformly Example

Is there an outer measure on $\mathbb R$ whose only measurable sets are $\mathbb R, \emptyset$?

Existence of a function $f$ with $\mathbb E[X^2f(X)]$ being finite for some $X$ with finite second moment

A construction of a Stratonovich type integral for fractional Brownian motion

Prove that $\int_{E}f = \int_{I}\int_{[\phi(x),\psi(x)]}f(x,y)dydx$ using Fubini's Theorem

If a probability measure has two densities, then they agree a.e. (Proof verification)

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