Question

Is the Borel sigma algebra complete under some measure?

score 1.7k · Answer 1 · 2018-10-25 03:28:06

1.7k

Views

Is the Borel sigma algebra complete under some measure?

Published on 25 Oct 2018 - 3:28

score 70 · Answer 2 · 2018-10-25 18:23:10

70

Views

What is a good intuition of a Borel-measurable set?

Published on 25 Oct 2018 - 18:23

score 510 · Answer 3 · 2018-10-28 20:06:15

510

Views

Sequence of Borel measurable functions where the limit of the integral of the sequence is not equal to the integral of the limit of the sequence

Published on 28 Oct 2018 - 20:06

score 188 · Answer 4 · 2018-11-01 02:49:59

188

Views

A continuous Function from $R$ to a Banach Space is Borel-Measurable

Published on 01 Nov 2018 - 2:49

score 225 · Answer 5 · 2018-11-02 02:00:34

225

Views

Proving a Borel Measure on the unit circle.

Published on 02 Nov 2018 - 2:00

score 69 · Answer 6 · 2018-11-05 18:44:48

69

Views

Existence of unique measure

Published on 05 Nov 2018 - 18:44

score 252 · Answer 7 · 2018-11-05 22:54:44

252

Views

Proof of factorization lemma

Published on 05 Nov 2018 - 22:54

score 75 · Answer 8 · 2018-11-06 16:12:05

75

Views

Finding a sequence of Borel measurable functions whose limit exist but Lebesgue integrals differ

Published on 06 Nov 2018 - 16:12

score 135 · Answer 9 · 2018-11-07 13:57:06

135

Views

Does there exists a set which has the exterior measure,but doesn't Lebesgue measurable?

Published on 07 Nov 2018 - 13:57

score 434 · Answer 10 · 2018-11-08 17:18:34

434

Views

A measure for which Lusin's theorem fails?

Published on 08 Nov 2018 - 17:18

score 199 · Answer 11 · 2018-11-16 11:42:55

199

Views

When sigma algebra of product topology equals sigma algebra of projections

Published on 16 Nov 2018 - 11:42

score 555 · Answer 12 · 2018-11-18 12:56:40

555

Views

Lebesgue Measure equal to any translation invariant Measure on the Borel sigma Algebra

Published on 18 Nov 2018 - 12:56

score 231 · Answer 13 · 2018-11-21 20:29:09

231

Views

Show $\mathcal{B}( \mathbb R)$ contains all countable subsets of $\mathbb R$

Published on 21 Nov 2018 - 20:29

score 25 · Answer 14 · 2018-11-21 21:14:11

25

Views

Tips to show that the Random Variable $X$ is $\mathcal{B}(\mathbb R)-\mathcal{B}(\mathbb R)-$measurable

Published on 21 Nov 2018 - 21:14

score 223 · Answer 15 · 2018-11-23 16:05:27

223

Views

Is the function $f(x) = \lfloor x\rfloor$ is measurable?

Published on 23 Nov 2018 - 16:05

List Question

Is the Borel sigma algebra complete under some measure?

What is a good intuition of a Borel-measurable set?

Sequence of Borel measurable functions where the limit of the integral of the sequence is not equal to the integral of the limit of the sequence

A continuous Function from $R$ to a Banach Space is Borel-Measurable

Proving a Borel Measure on the unit circle.

Existence of unique measure

Proof of factorization lemma

Finding a sequence of Borel measurable functions whose limit exist but Lebesgue integrals differ

Does there exists a set which has the exterior measure,but doesn't Lebesgue measurable?

A measure for which Lusin's theorem fails?

When sigma algebra of product topology equals sigma algebra of projections

Lebesgue Measure equal to any translation invariant Measure on the Borel sigma Algebra

Show $\mathcal{B}( \mathbb R)$ contains all countable subsets of $\mathbb R$

Tips to show that the Random Variable $X$ is $\mathcal{B}(\mathbb R)-\mathcal{B}(\mathbb R)-$measurable

Is the function $f(x) = \lfloor x\rfloor$ is measurable?

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