Question

How to define an isomorphism between $^\omega\omega$ and $\omega^\omega$?

score 311 · Answer 1 · 2014-07-09 19:27:36

311

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How to define an isomorphism between $^\omega\omega$ and $\omega^\omega$?

Published on 09 Jul 2014 - 19:27

score 1.3k · Answer 2 · 2014-07-15 18:30:43

1.3k

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$\aleph_\omega$ and large ordinals?

Published on 15 Jul 2014 - 18:30

score 51 · Answer 3 · 2014-07-17 21:44:52

51

Views

Finding two functions, $f, g$, such that $\mathrm{sup}(g \circ f[\omega]) < \mathrm{sup} (g[\omega + \omega])$

Published on 17 Jul 2014 - 21:44

score 72 · Answer 4 · 2014-07-21 10:22:32

72

Views

What are $\in$-well orderable classes?

Published on 21 Jul 2014 - 10:22

score 167 · Answer 5 · 2014-07-29 08:17:42

Question about the proof of this lemma: If $\alpha$, $\beta$ are ordinals, then either $\alpha \subset \beta$ or $\beta \subset \alpha.$

score 206 · Answer 6 · 2014-07-30 07:37:56

206

Views

cardinals and ordinals, problem with proper class

Published on 30 Jul 2014 - 7:37

score 252 · Answer 7 · 2014-08-15 14:09:19

252

Views

How does cf(cf $\alpha$) = cf $\alpha$?

Published on 15 Aug 2014 - 14:09

score 352 · Answer 8 · 2026-03-25 07:51:12

352

Views

Is it possible to iterate a function transfinite times?

Published on 25 Mar 2026 - 7:51

score 287 · Answer 9 · 2014-08-28 09:09:20

287

Views

$\kappa\cdot\kappa= \kappa,$ for infinite cardinals

Published on 28 Aug 2014 - 9:09

score 667 · Answer 10 · 2014-08-28 10:30:57

667

Views

Ordinal numbers addition property: $b<c$ implies $b+a \le c+a$

Published on 28 Aug 2014 - 10:30

score 436 · Answer 11 · 2014-08-28 16:15:42

436

Views

the smallest transfinite ordinal number

Published on 28 Aug 2014 - 16:15

score 243 · Answer 12 · 2014-08-28 20:52:38

243

Views

Ordinal multiplication property: $\alpha<\beta$ implies $\alpha\gamma\le\beta\gamma$

Published on 28 Aug 2014 - 20:52

score 515 · Answer 13 · 2014-08-30 14:46:36

515

Views

Are $1+ω$ and $ω+1$ isomorphic?

Published on 30 Aug 2014 - 14:46

score 142 · Answer 14 · 2014-09-04 22:47:29

142

Views

Question regarding addition of order types

Published on 04 Sep 2014 - 22:47

score 270 · Answer 15 · 2014-09-09 03:47:32

270

Views

Introduction to Set Theory(Ordinal Numbers)

Published on 09 Sep 2014 - 3:47

List Question

How to define an isomorphism between $^\omega\omega$ and $\omega^\omega$?

$\aleph_\omega$ and large ordinals?

Finding two functions, $f, g$, such that $\mathrm{sup}(g \circ f[\omega]) < \mathrm{sup} (g[\omega + \omega])$

What are $\in$-well orderable classes?

Question about the proof of this lemma: If $\alpha$, $\beta$ are ordinals, then either $\alpha \subset \beta$ or $\beta \subset \alpha.$

cardinals and ordinals, problem with proper class

How does cf(cf $\alpha$) = cf $\alpha$?

Is it possible to iterate a function transfinite times?

$\kappa\cdot\kappa= \kappa,$ for infinite cardinals

Ordinal numbers addition property: $b<c$ implies $b+a \le c+a$

the smallest transfinite ordinal number

Ordinal multiplication property: $\alpha<\beta$ implies $\alpha\gamma\le\beta\gamma$

Are $1+ω$ and $ω+1$ isomorphic?

Question regarding addition of order types

Introduction to Set Theory(Ordinal Numbers)

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