List questions from borel-sets

Published on 17 Oct 2019 - 7:36

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Slice of a Borel set in $\mathbb{R}^2$ is Borel

Published on 18 Oct 2019 - 1:32

33

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Notation in Probability: $\mathcal{F}_s^{t,0} \big{/} B(\mathbb{R}^n)$

Published on 18 Oct 2019 - 16:32

136

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Show that $\{(x,y) \in \mathbb{R}^2|x^2+y^2=1 \text{ and } x>0 \}$ is Borel

Published on 19 Oct 2019 - 12:23

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Showing a probability space

Published on 19 Oct 2019 - 16:57

66

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Prove that a set is a Borel set

Published on 22 Mar 2026 - 6:30

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prove that a set is Borel sigma algebra for R

Published on 21 Oct 2019 - 10:35

35

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If $A \in \mathbb{R}$ with $\lambda(A)=0$ then A has finitely many elements

Published on 24 Oct 2019 - 6:27

61

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Determine if $f(x)=1_{\mathbb{Q}}-1_{\mathbb{R}\setminus \mathbb{Q}}$ is Borel

Published on 24 Oct 2019 - 7:05

321

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Show that $A=\{(x,y) \in \mathbb R^2 \mid x^2+y^2 \leq 1 , \, x<y\}$ is Borel

Published on 30 Oct 2019 - 10:50

50

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show that $\mathcal{K}=\{(a,a+r) \times (b,b+r):a,b\in \mathbb R, \, r>0\}$ is equal to Borel

Published on 30 Oct 2019 - 14:55

302

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Equivalent definitions of standard Borel space?

Published on 02 Nov 2019 - 16:12

55

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Show that $A=\{(x,y) \in \mathbb{R}^2|x=1/2, 0\leq y<1\}$ is Borel

Published on 03 Nov 2019 - 9:43

1.5k

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Lebesgue measurable set, union of Borel set and null set

Published on 03 Nov 2019 - 13:53

57

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The Direction of Borel Reducibility

Published on 04 Nov 2019 - 12:07

List Question

Why borel set over complex is the same as real plane?

Slice of a Borel set in $\mathbb{R}^2$ is Borel

Notation in Probability: $\mathcal{F}_s^{t,0} \big{/} B(\mathbb{R}^n)$

Show that $\{(x,y) \in \mathbb{R}^2|x^2+y^2=1 \text{ and } x>0 \}$ is Borel

Showing a probability space

Prove that a set is a Borel set

prove that a set is Borel sigma algebra for R

If $A \in \mathbb{R}$ with $\lambda(A)=0$ then A has finitely many elements

Determine if $f(x)=1_{\mathbb{Q}}-1_{\mathbb{R}\setminus \mathbb{Q}}$ is Borel

Show that $A=\{(x,y) \in \mathbb R^2 \mid x^2+y^2 \leq 1 , \, x<y\}$ is Borel

show that $\mathcal{K}=\{(a,a+r) \times (b,b+r):a,b\in \mathbb R, \, r>0\}$ is equal to Borel

Equivalent definitions of standard Borel space?

Show that $A=\{(x,y) \in \mathbb{R}^2|x=1/2, 0\leq y<1\}$ is Borel

Lebesgue measurable set, union of Borel set and null set

The Direction of Borel Reducibility

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