Question

Subsets of $\mathcal{P}_{\infty}\mathbb{N}$ that are open and dense for the Ellentuck topology are completely Ramsey

score 147 · Answer 1 · 2026-03-26 01:25:09

147

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Subsets of $\mathcal{P}_{\infty}\mathbb{N}$ that are open and dense for the Ellentuck topology are completely Ramsey

Published on 26 Mar 2026 - 1:25

score 302 · Answer 2 · 2019-11-02 16:12:38

302

Views

Equivalent definitions of standard Borel space?

Published on 02 Nov 2019 - 16:12

score 58 · Answer 3 · 2026-03-25 23:08:27

58

Views

The Direction of Borel Reducibility

Published on 25 Mar 2026 - 23:08

score 145 · Answer 4 · 2019-11-11 22:17:20

145

Views

$\Pi_1^1$-complete sets

Published on 11 Nov 2019 - 22:17

score 403 · Answer 5 · 2026-03-25 10:56:03

403

Views

Equivalent of "almost everywhere" for "holds except on a set that is nowhere dense"

Published on 25 Mar 2026 - 10:56

score 165 · Answer 6 · 2026-02-23 02:54:35

165

Views

Why is $2^{\mathbb{N}}$ Homeomorphic to $2^{\mathbb{N}^{< \mathbb{N}}}$?

Published on 23 Feb 2026 - 2:54

score 74 · Answer 7 · 2019-11-26 18:46:41

74

Views

Continuous Reduction of $A \subset \mathbb{N}^{\mathbb{N}}$ in $F_{\sigma}$ to countable dense $Q \subset 2^{\mathbb{N}}$.

Published on 26 Nov 2019 - 18:46

score 361 · Answer 8 · 2019-12-14 00:57:41

361

Views

Tricky Yet "Elementary" Set Theory Questions

Published on 14 Dec 2019 - 0:57

score 260 · Answer 9 · 2019-12-17 18:23:25

260

Views

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

Published on 17 Dec 2019 - 18:23

score 40 · Answer 10 · 2019-12-29 12:56:27

40

Views

Prove that $\alpha$ is a Borel map

Published on 29 Dec 2019 - 12:56

score 185 · Answer 11 · 2019-12-29 19:14:17

185

Views

Projective conservativity of choice?

Published on 29 Dec 2019 - 19:14

score 133 · Answer 12 · 2020-01-16 17:37:35

133

Views

Uncountable closed set $A$, existence of point at which $A$ accumulates "from two sides" of a hyperplane

Published on 16 Jan 2020 - 17:37

score 147 · Answer 13 · 2020-02-18 08:52:58

147

Views

A step in proving the graph of a Borel map is Borel

Published on 18 Feb 2020 - 8:52

score 510 · Answer 14 · 2026-03-12 13:18:30

510

Views

Is there a specific infinitary sentence second-order logic can't capture?

Published on 12 Mar 2026 - 13:18

score 149 · Answer 15 · 2020-03-04 09:02:13

149

Views

Space of positive measures Polish for a weak-star topology?

Published on 04 Mar 2020 - 9:02

List Question

Subsets of $\mathcal{P}_{\infty}\mathbb{N}$ that are open and dense for the Ellentuck topology are completely Ramsey

Equivalent definitions of standard Borel space?

The Direction of Borel Reducibility

$\Pi_1^1$-complete sets

Equivalent of "almost everywhere" for "holds except on a set that is nowhere dense"

Why is $2^{\mathbb{N}}$ Homeomorphic to $2^{\mathbb{N}^{< \mathbb{N}}}$?

Continuous Reduction of $A \subset \mathbb{N}^{\mathbb{N}}$ in $F_{\sigma}$ to countable dense $Q \subset 2^{\mathbb{N}}$.

Tricky Yet "Elementary" Set Theory Questions

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

Prove that $\alpha$ is a Borel map

Projective conservativity of choice?

Uncountable closed set $A$, existence of point at which $A$ accumulates "from two sides" of a hyperplane

A step in proving the graph of a Borel map is Borel

Is there a specific infinitary sentence second-order logic can't capture?

Space of positive measures Polish for a weak-star topology?

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