Question

How to create a bijection between $\mathbb N$ and a set?

score 68 · Answer 1 · 2017-12-08 00:10:48

68

Views

How to create a bijection between $\mathbb N$ and a set?

Published on 08 Dec 2017 - 0:10

score 669 · Answer 2 · 2026-02-23 04:43:03

669

Views

Let $\bar{\mathbb{Q}}$ be the algebraic closure of $\mathbb{Q}$. What is the cardinality of a transcendental extension $K\setminus \bar{\mathbb{Q}}$?

Published on 23 Feb 2026 - 4:43

score 360 · Answer 3 · 2026-04-02 02:42:42

360

Views

Do cardinals in ZF have lattice operations?

Published on 02 Apr 2026 - 2:42

score 1.4k · Answer 4 · 2017-12-08 23:20:16

1.4k

Views

Proof of the cardinality of power set

Published on 08 Dec 2017 - 23:20

score 93 · Answer 5 · 2017-12-09 09:38:25

93

Views

Cardinality Aleph-0

Published on 09 Dec 2017 - 9:38

score 365 · Answer 6 · 2017-12-10 16:23:25

365

Views

Cardinality of $\Bbb N^{k}$

Published on 10 Dec 2017 - 16:23

score 60 · Answer 7 · 2017-12-10 21:17:12

60

Views

Is there an established name for ordinal functions that don't skip cardinals?

Published on 10 Dec 2017 - 21:17

score 58 · Answer 8 · 2017-12-11 13:46:13

58

Views

Diagonalization Cardinals Proof

Published on 11 Dec 2017 - 13:46

score 812 · Answer 9 · 2017-12-11 21:13:48

812

Views

Dimension of $End (V)$, $V$ infinite dimensional vector space.

Published on 11 Dec 2017 - 21:13

score 316 · Answer 10 · 2026-04-02 17:42:12

316

Views

Cardinality of cosets

Published on 02 Apr 2026 - 17:42

score 1k · Answer 11 · 2017-12-12 04:47:10

1k

Views

"Two algebraically closed fields with char $0$ and same cardinality $\kappa> \aleph_0$ are isomorphic." Any reference for this result?

Published on 12 Dec 2017 - 4:47

score 119 · Answer 12 · 2026-04-04 04:10:02

119

Views

Prove $\operatorname{cf}(\alpha)\leq|\alpha|$ if $\alpha$ is a limit ordinal

Published on 04 Apr 2026 - 4:10

score 148 · Answer 13 · 2017-12-14 17:02:26

148

Views

Doubts about tower number.

Published on 14 Dec 2017 - 17:02

score 2.3k · Answer 14 · 2017-12-15 04:09:09

2.3k

Views

The set of all equivalence classes of an equivalence relation on a uncountable set may be countable or uncountable.

Published on 15 Dec 2017 - 4:09

score 64 · Answer 15 · 2017-12-15 15:05:07

64

Views

How to prove that an equivalence relation $E$ over a set $A$ satisfying $|A|^3=|A|$ will satisfy $|E|=|A|$?

Published on 15 Dec 2017 - 15:05

List Question

How to create a bijection between $\mathbb N$ and a set?

Let $\bar{\mathbb{Q}}$ be the algebraic closure of $\mathbb{Q}$. What is the cardinality of a transcendental extension $K\setminus \bar{\mathbb{Q}}$?

Do cardinals in ZF have lattice operations?

Proof of the cardinality of power set

Cardinality Aleph-0

Cardinality of $\Bbb N^{k}$

Is there an established name for ordinal functions that don't skip cardinals?

Diagonalization Cardinals Proof

Dimension of $End (V)$, $V$ infinite dimensional vector space.

Cardinality of cosets

"Two algebraically closed fields with char $0$ and same cardinality $\kappa> \aleph_0$ are isomorphic." Any reference for this result?

Prove $\operatorname{cf}(\alpha)\leq|\alpha|$ if $\alpha$ is a limit ordinal

Doubts about tower number.

The set of all equivalence classes of an equivalence relation on a uncountable set may be countable or uncountable.

How to prove that an equivalence relation $E$ over a set $A$ satisfying $|A|^3=|A|$ will satisfy $|E|=|A|$?

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