Question

A Bijection Between $\kappa\times\aleph_{\alpha+\kappa}$ and $\aleph_{\alpha+\kappa}$ with Certain Order-Preservation Properties

score 62 · Answer 1 · 2026-03-25 01:46:30

62

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A Bijection Between $\kappa\times\aleph_{\alpha+\kappa}$ and $\aleph_{\alpha+\kappa}$ with Certain Order-Preservation Properties

Published on 25 Mar 2026 - 1:46

score 216 · Answer 2 · 2018-08-24 17:06:13

216

Views

Cardinality Of an Arbitrary Union

Published on 24 Aug 2018 - 17:06

score 43 · Answer 3 · 2018-08-24 19:03:59

43

Views

Algebraic Dimension of function space

Published on 24 Aug 2018 - 19:03

score 189 · Answer 4 · 2026-03-23 05:45:23

189

Views

prove $F$ is Independent of the choice of representative, and find $|[h]_{R_{h}}|$ as $h\in\mathbb{N}^{\mathbb{N}}$ and $R$ is an Equivalence relation

Published on 23 Mar 2026 - 5:45

score 54 · Answer 5 · 2026-03-25 15:11:06

54

Views

Transfinity of $\mathbb{Q}$ and $\mathbb{Z}$

Published on 25 Mar 2026 - 15:11

score 423 · Answer 6 · 2018-08-31 09:04:13

423

Views

Prove: for every $a < b \in \mathbb{R}, \ |(a, b)| = |[a,b)| = |(a.b]| = |[a,b]| = |\mathbb{R}|$

Published on 31 Aug 2018 - 9:04

score 95 · Answer 7 · 2026-03-25 20:06:35

95

Views

Mahlo operation, consistency border

Published on 25 Mar 2026 - 20:06

score 848 · Answer 8 · 2018-08-31 22:38:46

848

Views

A cardinality number to the square is itself?

Published on 31 Aug 2018 - 22:38

score 268 · Answer 9 · 2018-09-05 10:47:54

268

Views

Does every graph have a maximum stable set?

Published on 05 Sep 2018 - 10:47

score 993 · Answer 10 · 2018-09-07 22:10:24

993

Views

Is there a Partition of $[0,1]$ into closed, countably infinite sets?

Published on 07 Sep 2018 - 22:10

score 68 · Answer 11 · 2018-09-08 07:24:07

68

Views

Disjoint unions and countability

Published on 08 Sep 2018 - 7:24

score 50 · Answer 12 · 2018-09-09 23:42:54

50

Views

Show the cardinality of the infinite union of sets is less than the cardinality of the Cartesian product of those sets.

Published on 09 Sep 2018 - 23:42

score 1.1k · Answer 13 · 2018-09-11 12:07:44

1.1k

Views

Are the points on a unit circle a countable set?

Published on 11 Sep 2018 - 12:07

score 1.7k · Answer 14 · 2018-09-12 11:08:58

1.7k

Views

Confusion between finite set and countable set?

Published on 12 Sep 2018 - 11:08

score 5.2k · Answer 15 · 2018-09-13 11:57:51

5.2k

Views

Dimension of vector space, countable, uncountable?

Published on 13 Sep 2018 - 11:57

List Question

A Bijection Between $\kappa\times\aleph_{\alpha+\kappa}$ and $\aleph_{\alpha+\kappa}$ with Certain Order-Preservation Properties

Cardinality Of an Arbitrary Union

Algebraic Dimension of function space

prove $F$ is Independent of the choice of representative, and find $|[h]_{R_{h}}|$ as $h\in\mathbb{N}^{\mathbb{N}}$ and $R$ is an Equivalence relation

Transfinity of $\mathbb{Q}$ and $\mathbb{Z}$

Prove: for every $a < b \in \mathbb{R}, \ |(a, b)| = |[a,b)| = |(a.b]| = |[a,b]| = |\mathbb{R}|$

Mahlo operation, consistency border

A cardinality number to the square is itself?

Does every graph have a maximum stable set?

Is there a Partition of $[0,1]$ into closed, countably infinite sets?

Disjoint unions and countability

Show the cardinality of the infinite union of sets is less than the cardinality of the Cartesian product of those sets.

Are the points on a unit circle a countable set?

Confusion between finite set and countable set?

Dimension of vector space, countable, uncountable?

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