List questions from axiom-of-choice

Published on 11 Dec 2012 - 20:43

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Strength of the statement "$\mathbb R$ has a Hamel basis over $\mathbb Q$"

Published on 12 Dec 2012 - 19:06

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Defining cardinals without choice

Published on 14 Dec 2012 - 7:15

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Prove that the statement implies the Axiom of Choice

Published on 14 Dec 2012 - 10:33

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Bourbaki Proof of Zorn's Lemma in Lang's Algebra

Published on 15 Dec 2012 - 0:13

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Relationships between AC, Ultrafilter Lemma/BPIT, Non-measurable sets

Published on 15 Dec 2012 - 12:31

311

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Is it possible to choose a subsequence countable times in ZF?

Published on 15 Dec 2012 - 15:10

223

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Is compact metric space separable in ZF?

Published on 27 Mar 2026 - 0:10

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Books on Axiom of Dependent Choices?

Published on 16 Dec 2012 - 18:43

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Question on independent equivalent set

Published on 16 Dec 2012 - 19:59

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Why uniform closure $\mathscr{B}$ of an algebra $\mathscr{A}$ of bounded complex functions is uniformly closed?

Published on 17 Dec 2012 - 14:43

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Infinite set as union of disjoint countable sets.

Published on 21 Dec 2012 - 1:37

557

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Defining strong limit cardinals in $ZF$

Published on 21 Dec 2012 - 14:11

183

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Explicit choice functions for finite sets in topological spaces

Published on 21 Dec 2012 - 15:33

358

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Assuming $(GCH)$ but not the axiom of choice, strongly inaccessible and weakly inaccessible coincide

Published on 21 Dec 2012 - 20:53

List Question

Axiom of Choice and Ascending Chain Condition

Strength of the statement "$\mathbb R$ has a Hamel basis over $\mathbb Q$"

Defining cardinals without choice

Prove that the statement implies the Axiom of Choice

Bourbaki Proof of Zorn's Lemma in Lang's Algebra

Relationships between AC, Ultrafilter Lemma/BPIT, Non-measurable sets

Is it possible to choose a subsequence countable times in ZF?

Is compact metric space separable in ZF?

Books on Axiom of Dependent Choices?

Question on independent equivalent set

Why uniform closure $\mathscr{B}$ of an algebra $\mathscr{A}$ of bounded complex functions is uniformly closed?

Infinite set as union of disjoint countable sets.

Defining strong limit cardinals in $ZF$

Explicit choice functions for finite sets in topological spaces

Assuming $(GCH)$ but not the axiom of choice, strongly inaccessible and weakly inaccessible coincide

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