Question

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

score 195 · Answer 1 · 2026-03-25 09:50:00

195

Views

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

Published on 25 Mar 2026 - 9:50

score 49 · Answer 2 · 2026-03-25 09:48:50

49

Views

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

Published on 25 Mar 2026 - 9:48

score 110 · Answer 3 · 2026-04-16 14:45:41

110

Views

From GCH straight to cardinal arithmetic = max?

Published on 16 Apr 2026 - 14:45

score 28 · Answer 4 · 2026-03-25 09:50:18

28

Views

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

Published on 25 Mar 2026 - 9:50

score 148 · Answer 5 · 2026-04-29 12:48:31

148

Views

Cardinality of a quotient

Published on 29 Apr 2026 - 12:48

score 379 · Answer 6 · 2026-04-12 21:00:06

379

Views

Proof of the Erdős–Kaplanski theorem?

Published on 12 Apr 2026 - 21:00

score 687 · Answer 7 · 2026-04-10 14:58:11

687

Views

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

Published on 10 Apr 2026 - 14:58

score 291 · Answer 8 · 2026-03-29 01:07:47

291

Views

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

Published on 29 Mar 2026 - 1:07

score 126 · Answer 9 · 2026-04-14 23:36:14

126

Views

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

Published on 14 Apr 2026 - 23:36

score 1.1k · Answer 10 · 2026-04-16 15:18:12

1.1k

Views

Proving the Schroeder-Bernstein theorem

Published on 16 Apr 2026 - 15:18

score 106 · Answer 11 · 2026-05-04 11:51:00

106

Views

show that non degeneracy sets are equipotent between them.

Published on 04 May 2026 - 11:51

score 80 · Answer 12 · 2026-05-10 13:50:09

80

Views

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

Published on 10 May 2026 - 13:50

score 145 · Answer 13 · 2026-04-13 23:07:09

145

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 13 Apr 2026 - 23:07

score 95 · Answer 14 · 2026-05-07 03:17:36

95

Views

What is the Baire characteristic of the real number line?

Published on 07 May 2026 - 3:17

score 52 · Answer 15 · 2026-04-15 21:05:26

52

Views

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

Published on 15 Apr 2026 - 21:05

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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