Question

Example of a $\kappa$-long sequence of disjoint club subsets of regular cardinal $\kappa$

score 364 · Answer 1 · 2013-05-30 14:36:54

364

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Example of a $\kappa$-long sequence of disjoint club subsets of regular cardinal $\kappa$

Published on 30 May 2013 - 14:36

score 261 · Answer 2 · 2013-05-30 23:56:44

261

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Is there a model of ZFC such that $\aleph_\omega^{\aleph_0}=\aleph_{\omega+2}$?

Published on 30 May 2013 - 23:56

score 232 · Answer 3 · 2013-05-31 02:35:45

232

Views

$\kappa <\operatorname{cf}(2^\kappa)$ without König's inequality

Published on 31 May 2013 - 2:35

score 396 · Answer 4 · 2026-03-30 17:35:00

396

Views

What happens after the cardinality $\mathfrak{c}$?

Published on 30 Mar 2026 - 17:35

score 460 · Answer 5 · 2013-05-31 11:28:45

460

Views

Hartogs' Theorem

Published on 31 May 2013 - 11:28

score 1.1k · Answer 6 · 2026-04-04 05:19:42

1.1k

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Proving existence of a surjection $2^{\aleph_0} \to \aleph_1$ without AC

Published on 04 Apr 2026 - 5:19

score 311 · Answer 7 · 2026-04-04 05:25:29

311

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Reference request, self study of cardinals and cardinal arithmetic without AC

Published on 04 Apr 2026 - 5:25

score 8.9k · Answer 8 · 2013-06-01 17:28:15

8.9k

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When an infinite union of countable sets is uncountable?

Published on 01 Jun 2013 - 17:28

score 141 · Answer 9 · 2013-06-02 18:03:29

141

Views

Cardinality of the set of an atmost countable number of functions

Published on 02 Jun 2013 - 18:03

score 102 · Answer 10 · 2013-06-04 21:31:26

102

Views

What does it mean $|A|<|B|$, when $A$ and $B$ are infinite sets?

Published on 04 Jun 2013 - 21:31

score 750 · Answer 11 · 2026-03-29 14:20:17

750

Views

Weakly inaccessible cardinals and Discovering Modern Set Theory

Published on 29 Mar 2026 - 14:20

score 317 · Answer 12 · 2013-06-07 10:46:45

317

Views

Similar to Fodor lemma

Published on 07 Jun 2013 - 10:46

score 15.2k · Answer 13 · 2013-06-07 14:01:31

15.2k

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cardinality of all real sequences

Published on 07 Jun 2013 - 14:01

score 488 · Answer 14 · 2026-04-04 07:02:22

488

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In ZF, does there exist an ordinal of provably uncountable cofinality?

Published on 04 Apr 2026 - 7:02

score 197 · Answer 15 · 2013-06-12 01:28:32

197

Views

Why is this cardinal regular?

Published on 12 Jun 2013 - 1:28

List Question

Example of a $\kappa$-long sequence of disjoint club subsets of regular cardinal $\kappa$

Is there a model of ZFC such that $\aleph_\omega^{\aleph_0}=\aleph_{\omega+2}$?

$\kappa <\operatorname{cf}(2^\kappa)$ without König's inequality

What happens after the cardinality $\mathfrak{c}$?

Hartogs' Theorem

Proving existence of a surjection $2^{\aleph_0} \to \aleph_1$ without AC

Reference request, self study of cardinals and cardinal arithmetic without AC

When an infinite union of countable sets is uncountable?

Cardinality of the set of an atmost countable number of functions

What does it mean $|A|<|B|$, when $A$ and $B$ are infinite sets?

Weakly inaccessible cardinals and Discovering Modern Set Theory

Similar to Fodor lemma

cardinality of all real sequences

In ZF, does there exist an ordinal of provably uncountable cofinality?

Why is this cardinal regular?

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