List questions from borel-sets

Published on 28 Sep 2017 - 22:03

173

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Borel Sigma Algebras, Homeomorphisms, and Generating Sets?

Published on 30 Sep 2017 - 17:51

165

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Proving that a set is a Borel set

Published on 02 Oct 2017 - 0:05

1.3k

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Homeomorphism and Borel sets

Published on 02 Oct 2017 - 13:01

49

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$\mu(L)=0$ for every line $L\subset\mathbb{R}^2$ when $\mu$ is translational invariant Borel-measure

Published on 06 Oct 2017 - 14:07

2.1k

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Intuition help: why are Borel sets important?

Published on 12 Oct 2017 - 19:53

60

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When do we take the size of Borel sets?

Published on 12 Oct 2017 - 20:03

81

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sub interval on R generates a borel sigma algebra proof

Published on 14 Oct 2017 - 14:34

472

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Is this set borel measurable?

Published on 15 Oct 2017 - 13:43

828

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Proving that Borel sigma-field is a countably generated usign Dynkin theorem

Published on 15 Oct 2017 - 18:50

329

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If $\int_{ \mathbb{R} } f^{2n} d \lambda = \int_{ \mathbb{R} } f d \lambda $ then $\lambda (f^{-1}((1,\infty)))=0$

Published on 17 Oct 2017 - 5:26

178

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On a property of random variables and Borel sets

Published on 17 Oct 2017 - 16:16

50

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$B\notin \mathcal{B}(\mathbb{R})$, $(\Omega,\mathcal{F})$ measurable space. Then $B\times \Omega\notin \mathcal{B}(\mathbb{R})\otimes \mathcal{F}$

Published on 21 Oct 2017 - 16:17

1.6k

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Show that $f:\mathbb{R}\to\mathbb{R}$ is Borel measurable if $f$ is either right continuous or left continuous.

Published on 28 Mar 2026 - 8:35

126

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What is the right way to define a random variable?

Published on 28 Oct 2017 - 13:04

List Question

So what's the purpose of Borel algebras?

Borel Sigma Algebras, Homeomorphisms, and Generating Sets?

Proving that a set is a Borel set

Homeomorphism and Borel sets

$\mu(L)=0$ for every line $L\subset\mathbb{R}^2$ when $\mu$ is translational invariant Borel-measure

Intuition help: why are Borel sets important?

When do we take the size of Borel sets?

sub interval on R generates a borel sigma algebra proof

Is this set borel measurable?

Proving that Borel sigma-field is a countably generated usign Dynkin theorem

If $\int_{ \mathbb{R} } f^{2n} d \lambda = \int_{ \mathbb{R} } f d \lambda $ then $\lambda (f^{-1}((1,\infty)))=0$

On a property of random variables and Borel sets

$B\notin \mathcal{B}(\mathbb{R})$, $(\Omega,\mathcal{F})$ measurable space. Then $B\times \Omega\notin \mathcal{B}(\mathbb{R})\otimes \mathcal{F}$

Show that $f:\mathbb{R}\to\mathbb{R}$ is Borel measurable if $f$ is either right continuous or left continuous.

What is the right way to define a random variable?

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