Question

Models where $\Bbb R$ is not a countable union of countable sets and $\omega_1$ is singular

score 110 · Answer 1 · 2021-04-17 05:24:33

110

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Models where $\Bbb R$ is not a countable union of countable sets and $\omega_1$ is singular

Published on 17 Apr 2021 - 5:24

score 136 · Answer 2 · 2021-04-17 17:38:46

136

Views

A proof about skeletons without axiom of choice

Published on 17 Apr 2021 - 17:38

score 162 · Answer 3 · 2026-03-29 21:52:55

162

Views

A model without a choice function

Published on 29 Mar 2026 - 21:52

score 149 · Answer 4 · 2021-04-19 19:49:36

149

Views

Where does this naive proof of the axiom of choice from the partition principle fall down?

Published on 19 Apr 2021 - 19:49

score 241 · Answer 5 · 2026-03-28 20:07:42

241

Views

Every compact subset of a CW-complex is contained in a finite subcomplex: does this statement require choice?

Published on 28 Mar 2026 - 20:07

score 93 · Answer 6 · 2021-04-23 16:23:23

93

Views

Isomorphism of products in a category: Does it involve the axiom of choice?

Published on 23 Apr 2021 - 16:23

score 67 · Answer 7 · 2021-04-23 20:42:00

67

Views

Does this proof require the axiom of choice?

Published on 23 Apr 2021 - 20:42

score 129 · Answer 8 · 2026-03-29 21:53:54

129

Views

A more classical construction of the Feferman Levy model (without symmetric models)

Published on 29 Mar 2026 - 21:53

score 57 · Answer 9 · 2021-04-30 14:09:27

57

Views

Show that $\mathcal E _\sigma$ has the same cardinality as $\mathbb{R}$

Published on 30 Apr 2021 - 14:09

score 53 · Answer 10 · 2026-03-28 06:16:35

53

Views

Can someone explain these theorems to me (I have not been able to understand them very well).

Published on 28 Mar 2026 - 6:16

score 82 · Answer 11 · 2026-04-03 18:13:06

82

Views

Is the existence of arbitrary definable partial functions bounded by a set equivalent to the axiom of choice?

Published on 03 Apr 2026 - 18:13

score 177 · Answer 12 · 2026-03-29 21:52:10

177

Views

Model with weakened perfect set property

Published on 29 Mar 2026 - 21:52

score 309 · Answer 13 · 2021-05-11 02:10:30

309

Views

Uncountable chains in an uncountable partially ordered set

Published on 11 May 2021 - 2:10

score 75 · Answer 14 · 2021-05-12 19:05:51

75

Views

Does this made-up scenario require the axiom of choice?

Published on 12 May 2021 - 19:05

score 130 · Answer 15 · 2026-04-02 14:10:48

130

Views

Kunen Exercise about Foundation Axiom and the Negation of AC

Published on 02 Apr 2026 - 14:10

List Question

Models where $\Bbb R$ is not a countable union of countable sets and $\omega_1$ is singular

A proof about skeletons without axiom of choice

A model without a choice function

Where does this naive proof of the axiom of choice from the partition principle fall down?

Every compact subset of a CW-complex is contained in a finite subcomplex: does this statement require choice?

Isomorphism of products in a category: Does it involve the axiom of choice?

Does this proof require the axiom of choice?

A more classical construction of the Feferman Levy model (without symmetric models)

Show that $\mathcal E _\sigma$ has the same cardinality as $\mathbb{R}$

Can someone explain these theorems to me (I have not been able to understand them very well).

Is the existence of arbitrary definable partial functions bounded by a set equivalent to the axiom of choice?

Model with weakened perfect set property

Uncountable chains in an uncountable partially ordered set

Does this made-up scenario require the axiom of choice?

Kunen Exercise about Foundation Axiom and the Negation of AC

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