Question

What are the clopen sets in $\omega_1$ as a topological space?

score 281 · Answer 1 · 2016-07-02 20:30:42

281

Views

What are the clopen sets in $\omega_1$ as a topological space?

Published on 02 Jul 2016 - 20:30

score 806 · Answer 2 · 2013-03-31 21:58:57

806

Views

How many ordinals can we cram into $\mathbb{R}_+$, respecting order?

Published on 31 Mar 2013 - 21:58

score 1.3k · Answer 3 · 2013-04-02 16:05:39

1.3k

Views

Indecomposable limit ordinals

Published on 02 Apr 2013 - 16:05

score 189 · Answer 4 · 2013-04-05 12:44:52

189

Views

What are the sets $S_n=\omega-n$ called?

Published on 05 Apr 2013 - 12:44

score 122 · Answer 5 · 2013-04-06 03:06:18

122

Views

How to show this space $X$ is countably compact, first countable?

Published on 06 Apr 2013 - 3:06

score 806 · Answer 6 · 2013-04-06 15:01:48

806

Views

Limit Ordinal Question

Published on 06 Apr 2013 - 15:01

score 478 · Answer 7 · 2013-04-07 16:09:59

478

Views

It is possible to generalize the "real" line to be able to embed $\omega_1$ or any uncountable ordinal into a finite segment of it?

Published on 07 Apr 2013 - 16:09

score 1.3k · Answer 8 · 2026-03-29 14:25:10

1.3k

Views

Is the class of all ordinals independent of set theory?

Published on 29 Mar 2026 - 14:25

score 280 · Answer 9 · 2013-04-11 13:17:13

280

Views

Is the set of countable successor ordinals countable or uncountable?

Published on 11 Apr 2013 - 13:17

score 1.5k · Answer 10 · 2026-03-28 13:21:19

1.5k

Views

Is the proper class of all ordinals equivalent to the potential infinity of pre-Cantor times?

Published on 28 Mar 2026 - 13:21

score 81 · Answer 11 · 2013-04-16 11:59:33

81

Views

Can we conclude that $|\prod_{\xi \in Ord, \xi=1}^{\xi<\alpha}\xi|=2^{|\alpha|}$ for all infinite ordinal $\alpha$ in $\mathsf{ZFC}$?

Published on 16 Apr 2013 - 11:59

score 55 · Answer 12 · 2013-04-17 02:42:29

55

Views

How to prove $\gamma < \omega_1$?

Published on 17 Apr 2013 - 2:42

score 123 · Answer 13 · 2013-04-19 06:09:38

123

Views

Cardinal numbers are identified with the set of ordinals preceding them

Published on 19 Apr 2013 - 6:09

score 119 · Answer 14 · 2013-04-20 04:38:11

119

Views

Are there structures other than orderings that refine cardinality?

Published on 20 Apr 2013 - 4:38

score 118 · Answer 15 · 2013-04-21 07:09:40

118

Views

Bijection between $1+ \alpha$ and $\alpha + 1$

Published on 21 Apr 2013 - 7:09

List Question

What are the clopen sets in $\omega_1$ as a topological space?

How many ordinals can we cram into $\mathbb{R}_+$, respecting order?

Indecomposable limit ordinals

What are the sets $S_n=\omega-n$ called?

How to show this space $X$ is countably compact, first countable?

Limit Ordinal Question

It is possible to generalize the "real" line to be able to embed $\omega_1$ or any uncountable ordinal into a finite segment of it?

Is the class of all ordinals independent of set theory?

Is the set of countable successor ordinals countable or uncountable?

Is the proper class of all ordinals equivalent to the potential infinity of pre-Cantor times?

Can we conclude that $|\prod_{\xi \in Ord, \xi=1}^{\xi<\alpha}\xi|=2^{|\alpha|}$ for all infinite ordinal $\alpha$ in $\mathsf{ZFC}$?

How to prove $\gamma < \omega_1$?

Cardinal numbers are identified with the set of ordinals preceding them

Are there structures other than orderings that refine cardinality?

Bijection between $1+ \alpha$ and $\alpha + 1$

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