Question

for $x\in V_{\omega}$ is then $\operatorname{rank}(\operatorname{tc}(x))=\operatorname{rank}(x)$?

score 161 · Answer 1 · 2014-11-28 14:30:49

161

Views

for $x\in V_{\omega}$ is then $\operatorname{rank}(\operatorname{tc}(x))=\operatorname{rank}(x)$?

Published on 28 Nov 2014 - 14:30

score 266 · Answer 2 · 2014-12-01 18:51:18

266

Views

Countable transitive model of ZFC and $\mathcal{P}(\omega)$

Published on 01 Dec 2014 - 18:51

score 260 · Answer 3 · 2014-12-03 05:15:46

260

Views

unbounded class of ordinals not a set

Published on 03 Dec 2014 - 5:15

score 870 · Answer 4 · 2014-12-06 21:31:22

870

Views

Confused about transfinite induction

Published on 06 Dec 2014 - 21:31

score 2.1k · Answer 5 · 2014-12-08 05:13:13

2.1k

Views

Showing that a Transitive Set of Transitive Sets is an Ordinal

Published on 08 Dec 2014 - 5:13

score 143 · Answer 6 · 2014-12-08 18:07:01

143

Views

Compactness of second-countability of $\omega$X$\omega_1$

Published on 08 Dec 2014 - 18:07

score 661 · Answer 7 · 2014-12-09 23:11:32

661

Views

$H(\kappa)$ a model of all the axioms of ZFC for $\kappa$ not inaccessible

Published on 09 Dec 2014 - 23:11

score 92 · Answer 8 · 2014-12-10 20:28:21

92

Views

A Question about cardinal numbers and homeomorphism

Published on 10 Dec 2014 - 20:28

score 286 · Answer 9 · 2014-12-17 17:41:43

286

Views

Is the limit of a recursive sequence of recursive ordinals itself a recursive ordinal?

Published on 17 Dec 2014 - 17:41

score 449 · Answer 10 · 2026-03-26 06:13:57

449

Views

Is every countable ordinal homeomorphic to a subspace of $\mathbb R$?

Published on 26 Mar 2026 - 6:13

score 206 · Answer 11 · 2014-12-23 00:15:31

206

Views

Open neighborhoods in ordinals with the order topology

Published on 23 Dec 2014 - 0:15

score 679 · Answer 12 · 2014-12-25 10:14:49

679

Views

What is an undefinable ordinal? How large are the least undefinable ordinal and supremum of all undefinable ordinals?

Published on 25 Dec 2014 - 10:14

score 431 · Answer 13 · 2014-12-30 17:51:18

431

Views

Can set containing not only all ordinal numbers exist?

Published on 30 Dec 2014 - 17:51

score 89 · Answer 14 · 2014-12-30 21:30:34

89

Views

Take $S$ to be a set of ordinals, show $\cup S=\sup(S)$

Published on 30 Dec 2014 - 21:30

score 332 · Answer 15 · 2026-03-25 07:52:28

332

Views

Proof of the Principle of Transfinite Induction for On

Published on 25 Mar 2026 - 7:52

List Question

for $x\in V_{\omega}$ is then $\operatorname{rank}(\operatorname{tc}(x))=\operatorname{rank}(x)$?

Countable transitive model of ZFC and $\mathcal{P}(\omega)$

unbounded class of ordinals not a set

Confused about transfinite induction

Showing that a Transitive Set of Transitive Sets is an Ordinal

Compactness of second-countability of $\omega$X$\omega_1$

$H(\kappa)$ a model of all the axioms of ZFC for $\kappa$ not inaccessible

A Question about cardinal numbers and homeomorphism

Is the limit of a recursive sequence of recursive ordinals itself a recursive ordinal?

Is every countable ordinal homeomorphic to a subspace of $\mathbb R$?

Open neighborhoods in ordinals with the order topology

What is an undefinable ordinal? How large are the least undefinable ordinal and supremum of all undefinable ordinals?

Can set containing not only all ordinal numbers exist?

Take $S$ to be a set of ordinals, show $\cup S=\sup(S)$

Proof of the Principle of Transfinite Induction for On

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