Question

Is my example of a function which isn't mesurable on the completions of the sigma algebras correct?

score 42 · Answer 1 · 2021-12-27 14:57:49

42

Views

Is my example of a function which isn't mesurable on the completions of the sigma algebras correct?

Published on 27 Dec 2021 - 14:57

score 43 · Answer 2 · 2026-02-26 06:06:40

43

Views

To show that a recursively defined sequence of functions converges pointwise to $0$.

Published on 26 Feb 2026 - 6:06

score 21 · Answer 3 · 2021-12-31 14:44:43

21

Views

Measurable sets generated by random variables

Published on 31 Dec 2021 - 14:44

score 903 · Answer 4 · 2022-01-02 08:00:59

903

Views

If $f^{-1}((r,\infty))$ is measurable for all $r$ in $\mathbb{Q}$, prove that $f$ is measurable

Published on 02 Jan 2022 - 8:00

score 68 · Answer 5 · 2026-02-26 06:07:43

68

Views

$\lim_{n\rightarrow \infty} \int_D f_n d\mu=\int_D fd\mu$ when $f$ is integrable

Published on 26 Feb 2026 - 6:07

score 66 · Answer 6 · 2022-01-03 19:37:03

66

Views

Restriction of measurable seminorm to Cameron-Martin space is continuous?

Published on 03 Jan 2022 - 19:37

score 33 · Answer 7 · 2022-01-04 14:00:46

33

Views

How can I show that this function is mesurable?

Published on 04 Jan 2022 - 14:00

score 23 · Answer 8 · 2022-01-04 19:02:12

23

Views

Is a continuous function always (Borel)-mesurable?

Published on 04 Jan 2022 - 19:02

score 22 · Answer 9 · 2026-03-27 08:55:59

22

Views

$B \in \mathcal{B}, A \Subset G \implies \mathbb{1}_{\{wx_{A^c} \in B\}}$ is $\mathcal{B}_{A^c}$-measurable.

Published on 27 Mar 2026 - 8:55

score 155 · Answer 10 · 2026-03-27 02:36:11

155

Views

Does $Y$ $\mathcal{F_t}$-adapted and $X$ adapted to $Y$ imply that $X$ is $\mathcal{F_t}$-adapted?

Published on 27 Mar 2026 - 2:36

score 67 · Answer 11 · 2026-02-27 01:16:20

67

Views

Prove that a series converges.

Published on 27 Feb 2026 - 1:16

score 147 · Answer 12 · 2026-04-01 03:44:23

147

Views

Is the category of measurable spaces MONOIDAL closed? (fake-proof)

Published on 01 Apr 2026 - 3:44

score 104 · Answer 13 · 2022-01-13 05:47:01

104

Views

If $f$ is Lebesgue integrable on a measurable set $E$, then is $f$ Lebesgue integrable on any measurable subset $A$ of $E$?

Published on 13 Jan 2022 - 5:47

score 310 · Answer 14 · 2022-01-18 18:06:58

310

Views

Measurability of the Wasserstein distance of a Markov kernel

Published on 18 Jan 2022 - 18:06

score 145 · Answer 15 · 2022-01-19 14:12:45

145

Views

Example of non-measurable function

Published on 19 Jan 2022 - 14:12

List Question

Is my example of a function which isn't mesurable on the completions of the sigma algebras correct?

To show that a recursively defined sequence of functions converges pointwise to $0$.

Measurable sets generated by random variables

If $f^{-1}((r,\infty))$ is measurable for all $r$ in $\mathbb{Q}$, prove that $f$ is measurable

$\lim_{n\rightarrow \infty} \int_D f_n d\mu=\int_D fd\mu$ when $f$ is integrable

Restriction of measurable seminorm to Cameron-Martin space is continuous?

How can I show that this function is mesurable?

Is a continuous function always (Borel)-mesurable?

$B \in \mathcal{B}, A \Subset G \implies \mathbb{1}_{\{wx_{A^c} \in B\}}$ is $\mathcal{B}_{A^c}$-measurable.

Does $Y$ $\mathcal{F_t}$-adapted and $X$ adapted to $Y$ imply that $X$ is $\mathcal{F_t}$-adapted?

Prove that a series converges.

Is the category of measurable spaces MONOIDAL closed? (fake-proof)

If $f$ is Lebesgue integrable on a measurable set $E$, then is $f$ Lebesgue integrable on any measurable subset $A$ of $E$?

Measurability of the Wasserstein distance of a Markov kernel

Example of non-measurable function

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