Question

Lindelöfness in $\omega_1$

score 69 · Answer 1 · 2013-03-11 07:16:53

69

Views

Lindelöfness in $\omega_1$

Published on 11 Mar 2013 - 7:16

score 106 · Answer 2 · 2013-03-13 05:45:39

106

Views

What is the meaning finite minimal cover?

Published on 13 Mar 2013 - 5:45

score 62 · Answer 3 · 2013-03-13 11:56:29

62

Views

The proof from Van Mill, et al to prove $\omega_1$ is dually discrete

Published on 13 Mar 2013 - 11:56

score 702 · Answer 4 · 2026-02-23 15:33:33

702

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What are topological spaces $\omega_1$ and $\omega_1 + 1$?

Published on 23 Feb 2026 - 15:33

score 2.1k · Answer 5 · 2013-03-19 00:57:22

2.1k

Views

Show that an ordinal is a limit ordinal if and only if it is $\omega\cdot\beta$ for some $\beta$.

Published on 19 Mar 2013 - 0:57

score 3.4k · Answer 6 · 2013-03-20 23:26:12

3.4k

Views

Intuition for $\omega^\omega$

Published on 20 Mar 2013 - 23:26

score 1.1k · Answer 7 · 2013-03-22 18:23:43

1.1k

Views

Is the set of countable limit ordinals countable?

Published on 22 Mar 2013 - 18:23

score 748 · Answer 8 · 2013-03-23 02:51:51

Is there a hierarchy of countable limit ordinals that cannot be reached by repeated successor operations over limit ordinals of the previous level?

score 334 · Answer 9 · 2013-03-23 05:51:27

334

Views

Where is the line between countable an uncountable ordinals?

Published on 23 Mar 2013 - 5:51

score 1.4k · Answer 10 · 2026-04-03 05:17:14

1.4k

Views

Is there an axiomatic approach to ordinal arithmetic?

Published on 03 Apr 2026 - 5:17

score 844 · Answer 11 · 2013-03-24 20:22:38

844

Views

Is there a graphical way to represent limit ordinals up to $\omega_1$?

Published on 24 Mar 2013 - 20:22

score 115 · Answer 12 · 2013-03-26 11:33:58

115

Views

Is there a simple characterization of ordinals that cannot be "escaped"?

Published on 26 Mar 2013 - 11:33

score 574 · Answer 13 · 2013-03-26 16:38:10

574

Views

The real line has cardinality at most $\aleph_2$, but transfinite ordinal space has arbitrarily high cardinality: what is wrong?

Published on 26 Mar 2013 - 16:38

score 354 · Answer 14 · 2013-03-26 20:46:51

354

Views

Why should the union of such a family of sets have cardinality $\aleph_1?$

Published on 26 Mar 2013 - 20:46

score 142 · Answer 15 · 2020-07-31 19:42:42

142

Views

Is there a metric space on $\omega^\omega$ such that $\alpha+n\to\alpha+\omega$ as $n\to\infty$?

Published on 31 Jul 2020 - 19:42

List Question

Lindelöfness in $\omega_1$

What is the meaning finite minimal cover?

The proof from Van Mill, et al to prove $\omega_1$ is dually discrete

What are topological spaces $\omega_1$ and $\omega_1 + 1$?

Show that an ordinal is a limit ordinal if and only if it is $\omega\cdot\beta$ for some $\beta$.

Intuition for $\omega^\omega$

Is the set of countable limit ordinals countable?

Is there a hierarchy of countable limit ordinals that cannot be reached by repeated successor operations over limit ordinals of the previous level?

Where is the line between countable an uncountable ordinals?

Is there an axiomatic approach to ordinal arithmetic?

Is there a graphical way to represent limit ordinals up to $\omega_1$?

Is there a simple characterization of ordinals that cannot be "escaped"?

The real line has cardinality at most $\aleph_2$, but transfinite ordinal space has arbitrarily high cardinality: what is wrong?

Why should the union of such a family of sets have cardinality $\aleph_1?$

Is there a metric space on $\omega^\omega$ such that $\alpha+n\to\alpha+\omega$ as $n\to\infty$?

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