Question

"if $f:R \to R $ is $\mathbb{A}$ -measurable then for all $\delta>0$ exist $a \in \mathbb{R} $ such that $(f^{-1}(a,a+\delta))^c $ is countable "

score 26 · Answer 1 · 2019-04-29 15:00:43

26

Views

"if $f:R \to R $ is $\mathbb{A}$ -measurable then for all $\delta>0$ exist $a \in \mathbb{R} $ such that $(f^{-1}(a,a+\delta))^c $ is countable "

Published on 29 Apr 2019 - 15:00

score 101 · Answer 2 · 2019-04-30 12:20:36

101

Views

Measurability of closed opeartor

Published on 30 Apr 2019 - 12:20

score 42 · Answer 3 · 2019-05-07 17:21:58

42

Views

Time dependent process and progressively measurability

Published on 07 May 2019 - 17:21

score 96 · Answer 4 · 2019-05-08 19:09:20

96

Views

Prove that if $E\cap F=\emptyset$ and $X=E\cup F$ then $\int_Xfd\mu=\int_Efd\mu+\int_Ffd\mu$

Published on 08 May 2019 - 19:09

score 75 · Answer 5 · 2019-05-09 20:22:05

75

Views

Borel-measurable function

Published on 09 May 2019 - 20:22

score 71 · Answer 6 · 2019-05-10 11:09:04

71

Views

Is $f$ measurable function?

Published on 10 May 2019 - 11:09

score 78 · Answer 7 · 2019-05-10 18:58:43

78

Views

Prove the following statement about measurable sets and functions

Published on 10 May 2019 - 18:58

score 24 · Answer 8 · 2019-05-15 10:15:52

24

Views

Reweighting preserves positive average

Published on 15 May 2019 - 10:15

score 483 · Answer 9 · 2019-05-17 17:27:31

483

Views

Why can simple functions not take the value $\infty$?

Published on 17 May 2019 - 17:27

score 193 · Answer 10 · 2026-03-25 06:06:29

193

Views

Is $f(x)=\begin{cases}\frac{1}{x}, x\neq 0\\ \infty, x=0 \end{cases}$ Borel-measurable? (Using Borel sets)

Published on 25 Mar 2026 - 6:06

score 82 · Answer 11 · 2019-05-19 23:53:49

82

Views

Why if $U$ is open in $\overline {\Bbb R}$ then $U\cap \Bbb R$ is open in $\Bbb R$ in this proof?

Published on 19 May 2019 - 23:53

score 92 · Answer 12 · 2019-05-20 00:11:36

92

Views

Proving Borel measurability of a function.

Published on 20 May 2019 - 0:11

score 545 · Answer 13 · 2026-03-25 06:16:18

545

Views

Pushforward measure

Published on 25 Mar 2026 - 6:16

score 5.8k · Answer 14 · 2019-05-23 22:00:50

5.8k

Views

Increasing function is measurable

Published on 23 May 2019 - 22:00

score 133 · Answer 15 · 2019-05-28 14:09:32

133

Views

Why definition of measurable function in Rudin and Folland Differs? Is both are equivalent

Published on 28 May 2019 - 14:09

List Question

"if $f:R \to R $ is $\mathbb{A}$ -measurable then for all $\delta>0$ exist $a \in \mathbb{R} $ such that $(f^{-1}(a,a+\delta))^c $ is countable "

Measurability of closed opeartor

Time dependent process and progressively measurability

Prove that if $E\cap F=\emptyset$ and $X=E\cup F$ then $\int_Xfd\mu=\int_Efd\mu+\int_Ffd\mu$

Borel-measurable function

Is $f$ measurable function?

Prove the following statement about measurable sets and functions

Reweighting preserves positive average

Why can simple functions not take the value $\infty$?

Is $f(x)=\begin{cases}\frac{1}{x}, x\neq 0\\ \infty, x=0 \end{cases}$ Borel-measurable? (Using Borel sets)

Why if $U$ is open in $\overline {\Bbb R}$ then $U\cap \Bbb R$ is open in $\Bbb R$ in this proof?

Proving Borel measurability of a function.

Pushforward measure

Increasing function is measurable

Why definition of measurable function in Rudin and Folland Differs? Is both are equivalent

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