Question

Use of Axiom of Choice in Baire Category Theorem

score 449 · Answer 1 · 2026-05-10 22:02:40

449

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Use of Axiom of Choice in Baire Category Theorem

Published on 10 May 2026 - 22:02

score 183 · Answer 2 · 2026-04-14 19:47:35

183

Views

Proving a certain type of topology is discrete without the axiom of choice

Published on 14 Apr 2026 - 19:47

score 273 · Answer 3 · 2026-04-11 18:50:50

273

Views

Proof of Zorn's lemma clarification

Published on 11 Apr 2026 - 18:50

score 297 · Answer 4 · 2026-04-09 08:10:01

297

Views

Showing that Gale-Stewart Theorem on Determinacy of Open and Closed Games is equivalent to AC

Published on 09 Apr 2026 - 8:10

score 77 · Answer 5 · 2026-04-14 13:32:17

77

Views

In a metric space $X$, the boundary of an open set is the set of all limit points of a discrete set .

Published on 14 Apr 2026 - 13:32

score 235 · Answer 6 · 2026-04-13 05:02:09

235

Views

Implication of The axiom of choice

Published on 13 Apr 2026 - 5:02

score 208 · Answer 7 · 2026-04-17 07:25:11

208

Views

Is NBG with a global selector a conservative extension of NBG with the axiom of global choice?

Published on 17 Apr 2026 - 7:25

score 140 · Answer 8 · 2026-04-12 12:00:06

140

Views

Is there any way to avoid using Axiom of Choice in proving this theorem?

Published on 12 Apr 2026 - 12:00

score 248 · Answer 9 · 2026-04-14 04:46:38

248

Views

Proving an equivalence to the Axiom of Choice

Published on 14 Apr 2026 - 4:46

score 178 · Answer 10 · 2026-04-12 18:57:00

178

Views

Well-ordered Cartesian product in ZF

Published on 12 Apr 2026 - 18:57

score 171 · Answer 11 · 2026-04-15 16:38:09

171

Views

Commutative unitary ring without maximal ideal without axiom of choice

Published on 15 Apr 2026 - 16:38

score 68 · Answer 12 · 2026-04-12 10:41:34

68

Views

When we want to apply Axiom of Choice , is it necessary for us to check the class we construct is a set rather than a proper class?

Published on 12 Apr 2026 - 10:41

score 85 · Answer 13 · 2026-04-11 09:26:16

85

Views

Regarding the Post: "Does $k+\aleph_0=\mathfrak{c}$ imply $k=\mathfrak{c}$ without the Axiom of Choice?"

Published on 11 Apr 2026 - 9:26

score 99 · Answer 14 · 2026-04-13 09:21:37

99

Views

Discontinuous additive function

Published on 13 Apr 2026 - 9:21

score 154 · Answer 15 · 2026-04-14 14:26:38

154

Views

Example of non well-orderable set in ZF.

Published on 14 Apr 2026 - 14:26

List Question

Use of Axiom of Choice in Baire Category Theorem

Proving a certain type of topology is discrete without the axiom of choice

Proof of Zorn's lemma clarification

Showing that Gale-Stewart Theorem on Determinacy of Open and Closed Games is equivalent to AC

In a metric space $X$, the boundary of an open set is the set of all limit points of a discrete set .

Implication of The axiom of choice

Is NBG with a global selector a conservative extension of NBG with the axiom of global choice?

Is there any way to avoid using Axiom of Choice in proving this theorem?

Proving an equivalence to the Axiom of Choice

Well-ordered Cartesian product in ZF

Commutative unitary ring without maximal ideal without axiom of choice

When we want to apply Axiom of Choice , is it necessary for us to check the class we construct is a set rather than a proper class?

Regarding the Post: "Does $k+\aleph_0=\mathfrak{c}$ imply $k=\mathfrak{c}$ without the Axiom of Choice?"

Discontinuous additive function

Example of non well-orderable set in ZF.

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