Question

Approximating an arbitrary set by a Borel set

score 81 · Answer 1 · 2019-12-05 05:57:05

81

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Approximating an arbitrary set by a Borel set

Published on 05 Dec 2019 - 5:57

score 50 · Answer 2 · 2019-12-06 22:56:07

50

Views

What does 'supported in $ [a, b] $' mean in this theorem?

Published on 06 Dec 2019 - 22:56

score 789 · Answer 3 · 2019-12-08 09:24:49

789

Views

Lebesgue measure of difference of open set and borel set less that epsilon

Published on 08 Dec 2019 - 9:24

score 178 · Answer 4 · 2019-12-09 03:54:01

178

Views

Prove that for each $y$ the y-section set $A_y=\{x\in \mathbb{R}: (x,y)\in A\}$ is a Borel measurable subset of $\mathbb{R}$.

Published on 09 Dec 2019 - 3:54

score 87 · Answer 5 · 2019-12-13 12:22:50

87

Views

Open intervals as union of closed intervals

Published on 13 Dec 2019 - 12:22

score 21 · Answer 6 · 2026-03-25 10:55:58

21

Views

Proof that $h = g \circ f^{-1}$ is $(\overline{\mathcal{B}}, \overline{\mathcal{B}})$-measurable.

Published on 25 Mar 2026 - 10:55

score 50 · Answer 7 · 2019-12-15 13:18:06

50

Views

Does $\mathcal B([0,1])=\{U\cap [0,1]\mid U\in \mathcal B(\mathbb R)\}$?

Published on 15 Dec 2019 - 13:18

score 261 · Answer 8 · 2026-03-26 08:04:35

261

Views

Does Borel $\sigma$-algebra cardinality equal cardinality of the continuum?

Published on 26 Mar 2026 - 8:04

score 41 · Answer 9 · 2026-03-26 07:57:44

41

Views

Prove that $\alpha$ is a Borel map

Published on 26 Mar 2026 - 7:57

score 444 · Answer 10 · 2026-03-25 10:52:27

444

Views

Why are those the Borel sets?

Published on 25 Mar 2026 - 10:52

score 123 · Answer 11 · 2020-01-05 11:25:51

123

Views

On the Borel $\sigma$-algebra of a closed bounded interval in $\mathbb{R}$

Published on 05 Jan 2020 - 11:25

score 750 · Answer 12 · 2020-01-08 23:15:37

750

Views

What is the largest sigma-field on R ? And also what is borel sigma field?

Published on 08 Jan 2020 - 23:15

score 292 · Answer 13 · 2026-03-12 06:07:29

292

Views

Trying to prove that cardinality of Borel $\sigma$-algebra is the cardinality of the continuum

Published on 12 Mar 2026 - 6:07

score 28 · Answer 14 · 2020-01-20 10:01:25

28

Views

Volume of a cone with height $h$ whose base is a Borel set $\subseteq \mathbb{R^2}$

Published on 20 Jan 2020 - 10:01

score 140 · Answer 15 · 2020-01-20 11:41:04

140

Views

Is the Lebesgue Measure on $[a,b]$ perfect?

Published on 20 Jan 2020 - 11:41

List Question

Approximating an arbitrary set by a Borel set

What does 'supported in $ [a, b] $' mean in this theorem?

Lebesgue measure of difference of open set and borel set less that epsilon

Prove that for each $y$ the y-section set $A_y=\{x\in \mathbb{R}: (x,y)\in A\}$ is a Borel measurable subset of $\mathbb{R}$.

Open intervals as union of closed intervals

Proof that $h = g \circ f^{-1}$ is $(\overline{\mathcal{B}}, \overline{\mathcal{B}})$-measurable.

Does $\mathcal B([0,1])=\{U\cap [0,1]\mid U\in \mathcal B(\mathbb R)\}$?

Does Borel $\sigma$-algebra cardinality equal cardinality of the continuum?

Prove that $\alpha$ is a Borel map

Why are those the Borel sets?

On the Borel $\sigma$-algebra of a closed bounded interval in $\mathbb{R}$

What is the largest sigma-field on R ? And also what is borel sigma field?

Trying to prove that cardinality of Borel $\sigma$-algebra is the cardinality of the continuum

Volume of a cone with height $h$ whose base is a Borel set $\subseteq \mathbb{R^2}$

Is the Lebesgue Measure on $[a,b]$ perfect?

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