Question

Unions and the axiom of choice.

score 1k · Answer 1 · 2014-03-30 03:24:00

1k

Views

Unions and the axiom of choice.

Published on 30 Mar 2014 - 3:24

score 424 · Answer 2 · 2014-03-31 12:38:35

424

Views

Confusion regarding one formulation of the Axiom of Choice.

Published on 31 Mar 2014 - 12:38

score 965 · Answer 3 · 2026-03-29 04:02:53

965

Views

Book/Books leading up to the the axiom of choice?

Published on 29 Mar 2026 - 4:02

score 468 · Answer 4 · 2026-03-28 03:16:12

468

Views

Existence of a regular uncountable $\aleph_{\alpha}$ without $\mathsf{AC}$

Published on 28 Mar 2026 - 3:16

score 457 · Answer 5 · 2014-04-07 10:24:43

457

Views

Is this a basis for the dual space?

Published on 07 Apr 2014 - 10:24

score 103 · Answer 6 · 2014-04-07 15:01:24

103

Views

An equivalence of AC

Published on 07 Apr 2014 - 15:01

score 67 · Answer 7 · 2014-04-08 18:32:48

67

Views

Does defining the closure of a set as the intersection of all closed set that contain it requires the axiom of choice?

Published on 08 Apr 2014 - 18:32

score 476 · Answer 8 · 2026-03-28 03:33:17

476

Views

Can all theorems of $\sf ZFC$ about the natural numbers be proven in $\sf ZF$?

Published on 28 Mar 2026 - 3:33

score 202 · Answer 9 · 2014-04-09 16:43:43

202

Views

"Hidden" axiom of choice?

Published on 09 Apr 2014 - 16:43

score 919 · Answer 10 · 2014-04-12 07:53:14

919

Views

Can we prove that a bounded closed subset of $\mathbb R^n$ is compact without Axiom of Choice?

Published on 12 Apr 2014 - 7:53

score 506 · Answer 11 · 2014-04-12 16:28:45

506

Views

What is wrong with the following proof saying Zorn's lemma implies Hausdorff maximum principle?

Published on 12 Apr 2014 - 16:28

score 1.1k · Answer 12 · 2014-04-13 08:31:29

1.1k

Views

Proof that a product of two quasi-compact spaces is quasi-compact without Axiom of Choice

Published on 13 Apr 2014 - 8:31

score 595 · Answer 13 · 2014-04-13 20:53:34

595

Views

Is the Axiom of Choice implicitly used when defining a binary operation on a quotient object?

Published on 13 Apr 2014 - 20:53

score 247 · Answer 14 · 2014-04-21 11:26:28

247

Views

Zorich's misinterpretation of "Axiom of Choice"?

Published on 21 Apr 2014 - 11:26

score 172 · Answer 15 · 2026-03-28 06:41:01

172

Views

Do we need choice to prove that $|\mathbb{N} \times A| = |A|$ for all infinite sets $A$?

Published on 28 Mar 2026 - 6:41

List Question

Unions and the axiom of choice.

Confusion regarding one formulation of the Axiom of Choice.

Book/Books leading up to the the axiom of choice?

Existence of a regular uncountable $\aleph_{\alpha}$ without $\mathsf{AC}$

Is this a basis for the dual space?

An equivalence of AC

Does defining the closure of a set as the intersection of all closed set that contain it requires the axiom of choice?

Can all theorems of $\sf ZFC$ about the natural numbers be proven in $\sf ZF$?

"Hidden" axiom of choice?

Can we prove that a bounded closed subset of $\mathbb R^n$ is compact without Axiom of Choice?

What is wrong with the following proof saying Zorn's lemma implies Hausdorff maximum principle?

Proof that a product of two quasi-compact spaces is quasi-compact without Axiom of Choice

Is the Axiom of Choice implicitly used when defining a binary operation on a quotient object?

Zorich's misinterpretation of "Axiom of Choice"?

Do we need choice to prove that $|\mathbb{N} \times A| = |A|$ for all infinite sets $A$?

Trending Questions

Popular # Hahtags

Popular Questions