Question

A decreasing transfinite sequence of subsets of a countable set.

score 61 · Answer 1 · 2026-03-25 15:40:09

61

Views

A decreasing transfinite sequence of subsets of a countable set.

Published on 25 Mar 2026 - 15:40

score 151 · Answer 2 · 2019-03-08 04:34:25

151

Views

Prove that the set of all closure points of an increasing function is closed unbounded

Published on 08 Mar 2019 - 4:34

score 195 · Answer 3 · 2019-03-10 09:14:53

195

Views

How to prove that the set $C$ is unbounded

Published on 10 Mar 2019 - 9:14

score 128 · Answer 4 · 2019-03-13 18:58:36

128

Views

Subclass of ordinals is a set iff it is bounded

Published on 13 Mar 2019 - 18:58

score 135 · Answer 5 · 2019-03-17 11:59:25

135

Views

How do I prove the anti-symmetry and there is a minimal element for each subset of $\alpha$

Published on 17 Mar 2019 - 11:59

score 101 · Answer 6 · 2019-03-18 14:44:13

101

Views

How can I prove that if $\alpha$ is an ordinal, then there is an initial ordinal $\kappa$ such that $|\alpha|=|\kappa|$?

Published on 18 Mar 2019 - 14:44

score 142 · Answer 7 · 2019-03-18 18:10:11

142

Views

order type of club - cofinality

Published on 18 Mar 2019 - 18:10

score 301 · Answer 8 · 2019-03-28 22:54:28

301

Views

Well-ordered sets are order-isomorphic to a unique ordinal and proof by induction over the ordinals

Published on 28 Mar 2019 - 22:54

score 57 · Answer 9 · 2019-04-04 23:12:38

57

Views

What is the cardinality of $A=\{f\colon \omega_n \to \omega_m | |\operatorname{Supp}(f)|=\aleph_k \quad k<n\}?$

Published on 04 Apr 2019 - 23:12

score 328 · Answer 10 · 2026-03-25 03:44:19

328

Views

Intuition behind Covering Axioms

Published on 25 Mar 2026 - 3:44

score 119 · Answer 11 · 2019-04-08 07:50:11

119

Views

Computation of Length of Terminating Sequences of Infinite Ordinals

Published on 08 Apr 2019 - 7:50

score 557 · Answer 12 · 2019-04-10 23:47:53

557

Views

Ordinal $\omega_1$ is not compact

Published on 10 Apr 2019 - 23:47

score 66 · Answer 13 · 2019-04-11 13:08:18

66

Views

Can the following lemma about HEP be generalized?

Published on 11 Apr 2019 - 13:08

score 85 · Answer 14 · 2026-03-25 09:53:54

85

Views

Is $L^{n}$ normal, where $L$ denotes the closed long ray?

Published on 25 Mar 2026 - 9:53

score 128 · Answer 15 · 2019-04-14 11:24:06

128

Views

For ordinals, if $\beta \leq \alpha < \beta + \gamma$ then $\alpha = \beta + \delta$ for some $\delta < \gamma$

Published on 14 Apr 2019 - 11:24

List Question

A decreasing transfinite sequence of subsets of a countable set.

Prove that the set of all closure points of an increasing function is closed unbounded

How to prove that the set $C$ is unbounded

Subclass of ordinals is a set iff it is bounded

How do I prove the anti-symmetry and there is a minimal element for each subset of $\alpha$

How can I prove that if $\alpha$ is an ordinal, then there is an initial ordinal $\kappa$ such that $|\alpha|=|\kappa|$?

order type of club - cofinality

Well-ordered sets are order-isomorphic to a unique ordinal and proof by induction over the ordinals

What is the cardinality of $A=\{f\colon \omega_n \to \omega_m | |\operatorname{Supp}(f)|=\aleph_k \quad k<n\}?$

Intuition behind Covering Axioms

Computation of Length of Terminating Sequences of Infinite Ordinals

Ordinal $\omega_1$ is not compact

Can the following lemma about HEP be generalized?

Is $L^{n}$ normal, where $L$ denotes the closed long ray?

For ordinals, if $\beta \leq \alpha < \beta + \gamma$ then $\alpha = \beta + \delta$ for some $\delta < \gamma$

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