Question

Prove Cardinality of set of Bijections in $\mathbb{N} \to \mathbb{N}$ is $\mathfrak {c}$

score 194 · Answer 1 · 2026-03-23 16:21:02

194

Views

Prove Cardinality of set of Bijections in $\mathbb{N} \to \mathbb{N}$ is $\mathfrak {c}$

Published on 23 Mar 2026 - 16:21

score 48 · Answer 2 · 2026-03-24 06:31:00

48

Views

Set of Equivalence relations over $\mathbb{R}$

Published on 24 Mar 2026 - 6:31

score 107 · Answer 3 · 2026-02-25 22:28:26

107

Views

From GCH straight to cardinal arithmetic = max?

Published on 25 Feb 2026 - 22:28

score 27 · Answer 4 · 2026-03-23 10:43:22

27

Views

Calculate Cardinality of $\{X\in P_k(A_n)|\forall r,s\in X.|r-s|\notin \{1,2\}\}$

Published on 23 Mar 2026 - 10:43

score 141 · Answer 5 · 2026-03-22 07:58:19

141

Views

Cardinality of a quotient

Published on 22 Mar 2026 - 7:58

score 377 · Answer 6 · 2026-03-22 15:59:40

377

Views

Proof of the Erdős–Kaplanski theorem?

Published on 22 Mar 2026 - 15:59

score 684 · Answer 7 · 2018-02-14 07:46:47

684

Views

Induction on cartesian products of well-ordered sets (varying cardinality)

Published on 14 Feb 2018 - 7:46

score 288 · Answer 8 · 2018-02-16 05:08:46

288

Views

How to show that the set of all non-decreasing functions $f:\mathbb{Z} \rightarrow \{ 0, 1\}$ is countable?

Published on 16 Feb 2018 - 5:08

score 123 · Answer 9 · 2018-02-16 09:37:46

123

Views

$\{ \lambda \in Card | \lambda^k > \lambda\}$ is a proper class

Published on 16 Feb 2018 - 9:37

score 1.1k · Answer 10 · 2026-03-22 13:27:13

1.1k

Views

Proving the Schroeder-Bernstein theorem

Published on 22 Mar 2026 - 13:27

score 98 · Answer 11 · 2026-03-22 11:36:17

98

Views

show that non degeneracy sets are equipotent between them.

Published on 22 Mar 2026 - 11:36

score 76 · Answer 12 · 2018-02-19 12:40:48

76

Views

If k is a singular cardinal then there is no nonprincipal k-complete ideal over k.

Published on 19 Feb 2018 - 12:40

score 142 · Answer 13 · 2018-02-22 16:04:42

142

Views

If $V,W$ are vector spaces over $\mathbb Q$ with $|V|=|W|>\aleph_0$ , then $V$ and $W$ are isomorphic as vector spaces

Published on 22 Feb 2018 - 16:04

score 87 · Answer 14 · 2026-03-23 08:50:09

87

Views

What is the Baire characteristic of the real number line?

Published on 23 Mar 2026 - 8:50

score 49 · Answer 15 · 2026-02-25 22:28:21

49

Views

Inequality of cardinals: $AB<A^B$ for $B\geq |\mathbb{N}|$

Published on 25 Feb 2026 - 22:28

List Question

Prove Cardinality of set of Bijections in $\mathbb{N} \to \mathbb{N}$ is $\mathfrak {c}$

Set of Equivalence relations over $\mathbb{R}$

From GCH straight to cardinal arithmetic = max?

Calculate Cardinality of $\{X\in P_k(A_n)|\forall r,s\in X.|r-s|\notin \{1,2\}\}$

Cardinality of a quotient

Proof of the Erdős–Kaplanski theorem?

Induction on cartesian products of well-ordered sets (varying cardinality)

How to show that the set of all non-decreasing functions $f:\mathbb{Z} \rightarrow \{ 0, 1\}$ is countable?

$\{ \lambda \in Card | \lambda^k > \lambda\}$ is a proper class

Proving the Schroeder-Bernstein theorem

show that non degeneracy sets are equipotent between them.

If k is a singular cardinal then there is no nonprincipal k-complete ideal over k.

If $V,W$ are vector spaces over $\mathbb Q$ with $|V|=|W|>\aleph_0$ , then $V$ and $W$ are isomorphic as vector spaces

What is the Baire characteristic of the real number line?

Inequality of cardinals: $AB<A^B$ for $B\geq |\mathbb{N}|$

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