List questions from borel-measures

Published on 28 Jul 2018 - 14:03

37

Views

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

Published on 11 Aug 2018 - 16:03

47

Views

Under what conditions $(X,\tau)$ accepts a finite measure?

Published on 15 Aug 2018 - 15:00

136

Views

Why does the measure of a support $1$?

Published on 16 Aug 2018 - 18:41

358

Views

Showing that the function $f+g$ is Borel measurable

Published on 23 Aug 2018 - 17:20

76

Views

Continuity and a finite borel measure

Published on 11 Sep 2018 - 14:38

88

Views

Borel set of large measure in product space contains a product set of large measure

Published on 26 Sep 2018 - 10:24

376

Views

$\{µ(E) : E ∈ S\} = [0, 1] ∪ [3, c]$. Prove that $c ≥ 4$. Can you give an example of $(X, S, µ)$ if $c = 4$?

Published on 28 Sep 2018 - 4:30

117

Views

Show that a function is a Borel function in $R^n$

Published on 04 Oct 2018 - 18:12

1.3k

Views

A Characterization of Lebesgue measurable Sets by G-delta and F-sigma sets

Published on 15 Oct 2018 - 1:59

102

Views

Constructing a Borel Measure

Published on 15 Oct 2018 - 20:27

52

Views

Generation of Borel sigma-algebra

Published on 16 Oct 2018 - 15:56

34

Views

Determining whether an interval (0,1] $\in\mathfrak B(\mathbb R)$ or not.

Published on 18 Oct 2018 - 13:10

625

Views

Inequivalent definitions of the support of a Borel measure

Published on 24 Oct 2018 - 4:38

90

Views

Measures and Borel Sigma algebras

Published on 24 Oct 2018 - 7:19

List Question

Is this method of definition of Borel $\sigma$-fields complete?

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

Under what conditions $(X,\tau)$ accepts a finite measure?

Why does the measure of a support $1$?

Showing that the function $f+g$ is Borel measurable

Continuity and a finite borel measure

Borel set of large measure in product space contains a product set of large measure

$\{µ(E) : E ∈ S\} = [0, 1] ∪ [3, c]$. Prove that $c ≥ 4$. Can you give an example of $(X, S, µ)$ if $c = 4$?

Show that a function is a Borel function in $R^n$

A Characterization of Lebesgue measurable Sets by G-delta and F-sigma sets

Constructing a Borel Measure

Generation of Borel sigma-algebra

Determining whether an interval (0,1] $\in\mathfrak B(\mathbb R)$ or not.

Inequivalent definitions of the support of a Borel measure

Measures and Borel Sigma algebras

Trending Questions

Popular # Hahtags

Popular Questions