Question

Question of an isomorphism of $\epsilon_ 0$ and a subset of the rationals.

score 906 · Answer 1 · 2012-07-01 02:35:18

906

Views

Question of an isomorphism of $\epsilon_ 0$ and a subset of the rationals.

Published on 01 Jul 2012 - 2:35

score 591 · Answer 2 · 2012-07-04 23:15:10

591

Views

what simple extensions can be naturally embedded into Conway's algebraic closure of $\mathbb{F}_2$?

Published on 04 Jul 2012 - 23:15

score 327 · Answer 3 · 2012-07-13 15:28:10

327

Views

Admissible ordinals...

Published on 13 Jul 2012 - 15:28

score 4.3k · Answer 4 · 2026-02-23 15:31:28

4.3k

Views

What does order topology over Ordinal numbers look like, and how does it work?

Published on 23 Feb 2026 - 15:31

score 320 · Answer 5 · 2012-07-19 16:32:45

320

Views

Set of maximal chains in $\langle\mathcal{P}(\mathbb{N}),\subseteq\rangle$

Published on 19 Jul 2012 - 16:32

score 256 · Answer 6 · 2012-07-22 23:09:18

256

Views

Is $\pmb{\eta}\cdot\pmb{\omega_1} = (\pmb{\eta} + \pmb{1})\cdot\pmb{\omega_1}$?

Published on 22 Jul 2012 - 23:09

score 502 · Answer 7 · 2012-07-23 01:40:03

502

Views

Is $(\pmb{1} + \pmb{\eta})\cdot\pmb{\omega_1} = \pmb{1} + \pmb{\eta}\cdot\pmb{\omega_1}$?

Published on 23 Jul 2012 - 1:40

score 695 · Answer 8 · 2012-07-23 03:39:20

695

Views

Linearly ordered sets "somewhat similar" to $\mathbb{Q}$

Published on 23 Jul 2012 - 3:39

score 793 · Answer 9 · 2012-07-24 03:22:01

793

Views

An order type $\tau$ equal to its power $\tau^n, n>2$

Published on 24 Jul 2012 - 3:22

score 481 · Answer 10 · 2012-08-05 09:02:40

481

Views

$\alpha < \beta$ implies that $\gamma+\alpha<\gamma+\beta$ and $\alpha+\gamma\le\beta+\gamma$ for ordinals

Published on 05 Aug 2012 - 9:02

score 648 · Answer 11 · 2012-08-06 02:20:53

648

Views

Equivalent characterizations of ordinals of the form $\omega^\delta$

Published on 06 Aug 2012 - 2:20

score 473 · Answer 12 · 2012-08-07 06:57:46

473

Views

Show that if $\kappa$ is an uncountable cardinal, then $\kappa$ is an epsilon number

Published on 07 Aug 2012 - 6:57

score 196 · Answer 13 · 2012-08-08 12:01:40

196

Views

Show that for $n, m \in \omega$, the ordinal and cardinal exponentiations $n^m$

Published on 08 Aug 2012 - 12:01

score 540 · Answer 14 · 2012-08-11 20:16:44

540

Views

$\varepsilon$-number countability without choice

Published on 11 Aug 2012 - 20:16

score 386 · Answer 15 · 2026-03-29 13:50:01

386

Views

When collapsing a cardinal, what ordinal does it become?

Published on 29 Mar 2026 - 13:50

List Question

Question of an isomorphism of $\epsilon_ 0$ and a subset of the rationals.

what simple extensions can be naturally embedded into Conway's algebraic closure of $\mathbb{F}_2$?

Admissible ordinals...

What does order topology over Ordinal numbers look like, and how does it work?

Set of maximal chains in $\langle\mathcal{P}(\mathbb{N}),\subseteq\rangle$

Is $\pmb{\eta}\cdot\pmb{\omega_1} = (\pmb{\eta} + \pmb{1})\cdot\pmb{\omega_1}$?

Is $(\pmb{1} + \pmb{\eta})\cdot\pmb{\omega_1} = \pmb{1} + \pmb{\eta}\cdot\pmb{\omega_1}$?

Linearly ordered sets "somewhat similar" to $\mathbb{Q}$

An order type $\tau$ equal to its power $\tau^n, n>2$

$\alpha < \beta$ implies that $\gamma+\alpha<\gamma+\beta$ and $\alpha+\gamma\le\beta+\gamma$ for ordinals

Equivalent characterizations of ordinals of the form $\omega^\delta$

Show that if $\kappa$ is an uncountable cardinal, then $\kappa$ is an epsilon number

Show that for $n, m \in \omega$, the ordinal and cardinal exponentiations $n^m$

$\varepsilon$-number countability without choice

When collapsing a cardinal, what ordinal does it become?

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