Question

Property of Galvin-Hajnal rank

score 210 · Answer 1 · 2011-06-17 13:12:36

Property of Galvin-Hajnal rank

Published on 17 Jun 2011 - 13:12

score 4.6k · Answer 2 · 2011-06-18 20:52:16

Cantor-Bernstein-like theorem: If $f\colon A\to B$ is injection and $g\colon A\to B$ is surjective, can we prove there is a bijection as well?

score 9.5k · Answer 3 · 2011-06-22 06:09:22

9.5k

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How do we know an $ \aleph_1 $ exists at all?

Published on 22 Jun 2011 - 6:09

score 976 · Answer 4 · 2011-07-01 03:52:19

976

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Cardinality of sets of subsets of $\mathbb{N}$

Published on 01 Jul 2011 - 3:52

score 1.8k · Answer 5 · 2011-07-01 03:57:46

1.8k

Views

How to prove that from "Every infinite cardinal satisfies $a^2=a$" we can prove that $b+c=bc$ for any two infinite cardinals $b,c$?

Published on 01 Jul 2011 - 3:57

score 768 · Answer 6 · 2011-07-08 11:39:38

768

Views

Formulations of Singular Cardinals Hypothesis

Published on 08 Jul 2011 - 11:39

score 13.4k · Answer 7 · 2011-07-12 17:25:49

13.4k

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What is the set of all functions from $\{0, 1\}$ to $\mathbb{N}$ equinumerous to?

Published on 12 Jul 2011 - 17:25

score 14.1k · Answer 8 · 2026-03-28 20:09:37

14.1k

Views

Partition of N into infinite number of infinite disjoint sets?

Published on 28 Mar 2026 - 20:09

score 1.6k · Answer 9 · 2011-07-17 02:58:46

1.6k

Views

What is the Cardinality of the Nameable Numbers?

Published on 17 Jul 2011 - 2:58

score 1.4k · Answer 10 · 2026-04-06 05:56:44

1.4k

Views

There's non-Aleph transfinite cardinals without the axiom of choice?

Published on 06 Apr 2026 - 5:56

score 3.9k · Answer 11 · 2026-04-06 05:58:45

3.9k

Views

Defining cardinality in the absence of choice

Published on 06 Apr 2026 - 5:58

score 3.7k · Answer 12 · 2026-03-29 12:32:05

3.7k

Views

Cardinality of the set of hyperreal numbers

Published on 29 Mar 2026 - 12:32

score 23.3k · Answer 13 · 2011-07-27 23:18:32

23.3k

Views

The cartesian product $\mathbb{N} \times \mathbb{N}$ is countable

Published on 27 Jul 2011 - 23:18

score 2k · Answer 14 · 2011-07-30 04:06:45

2k

Views

Medial Limit of Mokobodzki (case of Banach Limit)

Published on 30 Jul 2011 - 4:06

score 222 · Answer 15 · 2011-07-31 11:51:53

222

Views

Can the cofinality of a $\operatorname{cf}(A)$-directed partially ordered set $A$ be singular?

Published on 31 Jul 2011 - 11:51

List Question

Property of Galvin-Hajnal rank

Cantor-Bernstein-like theorem: If $f\colon A\to B$ is injection and $g\colon A\to B$ is surjective, can we prove there is a bijection as well?

How do we know an $ \aleph_1 $ exists at all?

Cardinality of sets of subsets of $\mathbb{N}$

How to prove that from "Every infinite cardinal satisfies $a^2=a$" we can prove that $b+c=bc$ for any two infinite cardinals $b,c$?

Formulations of Singular Cardinals Hypothesis

What is the set of all functions from $\{0, 1\}$ to $\mathbb{N}$ equinumerous to?

Partition of N into infinite number of infinite disjoint sets?

What is the Cardinality of the Nameable Numbers?

There's non-Aleph transfinite cardinals without the axiom of choice?

Defining cardinality in the absence of choice

Cardinality of the set of hyperreal numbers

The cartesian product $\mathbb{N} \times \mathbb{N}$ is countable

Medial Limit of Mokobodzki (case of Banach Limit)

Can the cofinality of a $\operatorname{cf}(A)$-directed partially ordered set $A$ be singular?

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