Question

Can "Every set" in the definition of $\kappa\rightarrow (\lambda)^{\mu}_{\eta}$ be replaced by "some set"?

score 49 · Answer 1 · 2023-04-15 21:16:34

49

Views

Can "Every set" in the definition of $\kappa\rightarrow (\lambda)^{\mu}_{\eta}$ be replaced by "some set"?

Published on 15 Apr 2023 - 21:16

score 183 · Answer 2 · 2023-04-18 06:32:35

183

Views

Construct a bijection given two injections

Published on 18 Apr 2023 - 6:32

score 151 · Answer 3 · 2023-04-19 17:16:00

151

Views

Why do the groups generated by sets of a fixed bounded cardinality essentially form a (small) set?

Published on 19 Apr 2023 - 17:16

score 151 · Answer 4 · 2023-04-26 09:52:59

151

Views

Does Cantor's paradox require the axiom of choice?

Published on 26 Apr 2023 - 9:52

score 91 · Answer 5 · 2023-04-28 08:55:03

91

Views

Theorem 5, Section 1.4 of Hungerford’s Abstract Algebra

Published on 28 Apr 2023 - 8:55

score 133 · Answer 6 · 2023-04-28 13:05:18

133

Views

what is the Cardinality of subsets of Z of size 3

Published on 28 Apr 2023 - 13:05

score 73 · Answer 7 · 2026-03-29 11:09:27

73

Views

$cf(\aleph_{\alpha}) = cf(\alpha)$ for all limit ordinals $\alpha$

Published on 29 Mar 2026 - 11:09

score 72 · Answer 8 · 2026-03-29 07:19:41

72

Views

$cf(\aleph_{\alpha}) \geq cf(\alpha)$ for all limit ordinals $\alpha$

Published on 29 Mar 2026 - 7:19

score 70 · Answer 9 · 2023-04-30 13:38:21

70

Views

Regular cardinals exponentiation.

Published on 30 Apr 2023 - 13:38

score 31 · Answer 10 · 2026-03-29 07:28:35

31

Views

Reordering a Sequence of Sets Whose Union is the Whole Set

Published on 29 Mar 2026 - 7:28

score 114 · Answer 11 · 2023-05-02 15:11:48

114

Views

Showing $\aleph_{0} < 2^{\aleph_{0}}$ without using Cantor's diagonal argument

Published on 02 May 2023 - 15:11

score 211 · Answer 12 · 2026-03-30 16:26:37

211

Views

What is the cardinality of the set of injective functions from $\mathbb{N}$ to $\mathcal P \mathbb{N}$?

Published on 30 Mar 2026 - 16:26

score 62 · Answer 13 · 2026-03-27 07:49:11

62

Views

Applications of Cohen reals (obtained by forcing) and maths without Continuum Hypothesis?

Published on 27 Mar 2026 - 7:49

score 59 · Answer 14 · 2026-03-29 07:19:50

59

Views

Does $\operatorname{cf}(\alpha)=\operatorname{cf}(\beta)$ if there is a monotone cofinal function $\alpha\to\beta$?

Published on 29 Mar 2026 - 7:19

score 35 · Answer 15 · 2026-03-29 07:19:38

35

Views

Is $\operatorname{cf}(2^{<\kappa})=\operatorname{cf}(\kappa)$?

Published on 29 Mar 2026 - 7:19

List Question

Can "Every set" in the definition of $\kappa\rightarrow (\lambda)^{\mu}_{\eta}$ be replaced by "some set"?

Construct a bijection given two injections

Why do the groups generated by sets of a fixed bounded cardinality essentially form a (small) set?

Does Cantor's paradox require the axiom of choice?

Theorem 5, Section 1.4 of Hungerford’s Abstract Algebra

what is the Cardinality of subsets of Z of size 3

$cf(\aleph_{\alpha}) = cf(\alpha)$ for all limit ordinals $\alpha$

$cf(\aleph_{\alpha}) \geq cf(\alpha)$ for all limit ordinals $\alpha$

Regular cardinals exponentiation.

Reordering a Sequence of Sets Whose Union is the Whole Set

Showing $\aleph_{0} < 2^{\aleph_{0}}$ without using Cantor's diagonal argument

What is the cardinality of the set of injective functions from $\mathbb{N}$ to $\mathcal P \mathbb{N}$?

Applications of Cohen reals (obtained by forcing) and maths without Continuum Hypothesis?

Does $\operatorname{cf}(\alpha)=\operatorname{cf}(\beta)$ if there is a monotone cofinal function $\alpha\to\beta$?

Is $\operatorname{cf}(2^{<\kappa})=\operatorname{cf}(\kappa)$?

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