Question

Show that $\mathbb{N}, \mathbb{Q}, \mathbb{R}\backslash\mathbb{Q} \in \mathcal{B}(\mathbb{R})$.

score 252 · Answer 1 · 2017-11-20 09:57:16

252

Views

Show that $\mathbb{N}, \mathbb{Q}, \mathbb{R}\backslash\mathbb{Q} \in \mathcal{B}(\mathbb{R})$.

Published on 20 Nov 2017 - 9:57

score 122 · Answer 2 · 2017-11-21 18:31:03

122

Views

Classifying measurability of functions for $\mathcal{L}(\mathbb{R})$

Published on 21 Nov 2017 - 18:31

score 59 · Answer 3 · 2017-11-23 12:25:18

59

Views

Conclude that $\sigma(\mathcal{B}_0) = \mathcal{B}(\mathbb{R})$

Published on 23 Nov 2017 - 12:25

score 319 · Answer 4 · 2017-11-24 04:18:52

319

Views

Example of limit of a net of Borel functions not Borel

Published on 24 Nov 2017 - 4:18

score 260 · Answer 5 · 2017-11-26 11:53:01

260

Views

Is the borel $\sigma$-algebra over reals a complete lattice?

Published on 26 Nov 2017 - 11:53

score 305 · Answer 6 · 2017-12-02 13:32:11

305

Views

Baire sets and Borel sets

Published on 02 Dec 2017 - 13:32

score 210 · Answer 7 · 2017-12-04 12:57:55

210

Views

Continuous function is constant $\mu$-almost everywhere, then it has to be constant on the topological support of $\mu$

Published on 04 Dec 2017 - 12:57

score 491 · Answer 8 · 2017-12-08 18:59:59

491

Views

Theorem 1.17 in Rudin's RCA

Published on 08 Dec 2017 - 18:59

score 539 · Answer 9 · 2017-12-15 01:33:03

539

Views

$ \lambda_{n+m}( A \times B ) = \lambda_n(A) \cdot \lambda_m(B) $

Published on 15 Dec 2017 - 1:33

score 343 · Answer 10 · 2017-12-20 13:48:34

343

Views

Set with all its elements irrationals.

Published on 20 Dec 2017 - 13:48

score 2.3k · Answer 11 · 2017-12-26 23:21:01

2.3k

Views

Borel sigma algebra $\mathcal{B} (\mathbb{\bar{R}}) $ generated by $ (a, \infty], a\in \mathbb{R}.$

Published on 26 Dec 2017 - 23:21

score 49 · Answer 12 · 2026-03-26 17:31:22

49

Views

What is solution set of the given equation and why?

Published on 26 Mar 2026 - 17:31

score 495 · Answer 13 · 2018-01-01 16:58:54

495

Views

Showing a extended real valued function is measurable, problem dividing by $0$ and $\infty$

Published on 01 Jan 2018 - 16:58

score 121 · Answer 14 · 2018-01-05 10:16:10

121

Views

Show that $\bigcup\limits_{n=1}^\infty A_n \in \mathcal{A}$.

Published on 05 Jan 2018 - 10:16

score 336 · Answer 15 · 2018-01-10 22:49:40

336

Views

Cantor function preserves Borel set

Published on 10 Jan 2018 - 22:49

List Question

Show that $\mathbb{N}, \mathbb{Q}, \mathbb{R}\backslash\mathbb{Q} \in \mathcal{B}(\mathbb{R})$.

Classifying measurability of functions for $\mathcal{L}(\mathbb{R})$

Conclude that $\sigma(\mathcal{B}_0) = \mathcal{B}(\mathbb{R})$

Example of limit of a net of Borel functions not Borel

Is the borel $\sigma$-algebra over reals a complete lattice?

Baire sets and Borel sets

Continuous function is constant $\mu$-almost everywhere, then it has to be constant on the topological support of $\mu$

Theorem 1.17 in Rudin's RCA

$ \lambda_{n+m}( A \times B ) = \lambda_n(A) \cdot \lambda_m(B) $

Set with all its elements irrationals.

Borel sigma algebra $\mathcal{B} (\mathbb{\bar{R}}) $ generated by $ (a, \infty], a\in \mathbb{R}.$

What is solution set of the given equation and why?

Showing a extended real valued function is measurable, problem dividing by $0$ and $\infty$

Show that $\bigcup\limits_{n=1}^\infty A_n \in \mathcal{A}$.

Cantor function preserves Borel set

Trending Questions

Popular # Hahtags

Popular Questions