Question

Being unbounded in a limit ordinal implies order type is also a limit?

score 27 · Answer 1 · 2024-01-13 12:40:24

27

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Being unbounded in a limit ordinal implies order type is also a limit?

Published on 13 Jan 2024 - 12:40

score 38 · Answer 2 · 2024-01-15 05:26:55

38

Views

How can we simplify $\omega^{\omega\times \omega}$?

Published on 15 Jan 2024 - 5:26

score 58 · Answer 3 · 2024-01-15 15:58:48

58

Views

Proof of the Reflection Theorem in Kunen?

Published on 15 Jan 2024 - 15:58

score 55 · Answer 4 · 2024-01-19 01:38:52

55

Views

Why does regularity of an ordinal $\gamma$ imply the existence of a sequence $(\delta_n)$ such that $\delta_n<\gamma$ for all $n$?

Published on 19 Jan 2024 - 1:38

score 48 · Answer 5 · 2024-01-19 13:31:32

48

Views

Transitive closure of an ordinal is the ordinal itself?

Published on 19 Jan 2024 - 13:31

score 164 · Answer 6 · 2024-01-20 08:30:13

164

Views

What ways are there to define $\aleph$?

Published on 20 Jan 2024 - 8:30

score 205 · Answer 7 · 2024-01-25 04:12:21

205

Views

How does one construct $\omega + \omega$ in ZFC?

Published on 25 Jan 2024 - 4:12

score 43 · Answer 8 · 2026-03-25 10:58:55

43

Views

If $X_1$,$X_2$ are wosets isomorphic to ordinals $\alpha_1,\alpha_2$ then $X_1\times X_2$ is isomorphic to $\alpha_2\cdot \alpha_1$

Published on 25 Mar 2026 - 10:58

score 70 · Answer 9 · 2026-03-27 00:58:47

70

Views

Exercise 7.1.6 Introduction to Set Theory by Hrbacek and Jech

Published on 27 Mar 2026 - 0:58

score 78 · Answer 10 · 2026-03-27 00:59:05

78

Views

Hessenberg sum/natural sum of ordinals definition

Published on 27 Mar 2026 - 0:59

score 49 · Answer 11 · 2024-01-29 16:19:56

49

Views

Ordinal number closed for countable sum

Published on 29 Jan 2024 - 16:19

score 24 · Answer 12 · 2024-02-01 11:30:57

24

Views

Find unbounded sequence in an ordinal product of regular uncountable cardinals

Published on 01 Feb 2024 - 11:30

score 80 · Answer 13 · 2024-02-07 09:09:48

80

Views

What is cardinality of ordinal exponentiation?

Published on 07 Feb 2024 - 9:09

score 56 · Answer 14 · 2026-03-25 11:08:45

56

Views

How is transifnite recursion applied?

Published on 25 Mar 2026 - 11:08

score 136 · Answer 15 · 2026-03-25 13:55:21

136

Views

Is the empty set always an 'implicit member' of all sets under a pure set theory?

Published on 25 Mar 2026 - 13:55

List Question

Being unbounded in a limit ordinal implies order type is also a limit?

How can we simplify $\omega^{\omega\times \omega}$?

Proof of the Reflection Theorem in Kunen?

Why does regularity of an ordinal $\gamma$ imply the existence of a sequence $(\delta_n)$ such that $\delta_n<\gamma$ for all $n$?

Transitive closure of an ordinal is the ordinal itself?

What ways are there to define $\aleph$?

How does one construct $\omega + \omega$ in ZFC?

If $X_1$,$X_2$ are wosets isomorphic to ordinals $\alpha_1,\alpha_2$ then $X_1\times X_2$ is isomorphic to $\alpha_2\cdot \alpha_1$

Exercise 7.1.6 Introduction to Set Theory by Hrbacek and Jech

Hessenberg sum/natural sum of ordinals definition

Ordinal number closed for countable sum

Find unbounded sequence in an ordinal product of regular uncountable cardinals

What is cardinality of ordinal exponentiation?

How is transifnite recursion applied?

Is the empty set always an 'implicit member' of all sets under a pure set theory?

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