List questions from ordinals

Published on 29 May 2015 - 2:05

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Ordinal addition is not commutative

Published on 31 May 2015 - 15:14

101

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A compact Hausdorff space

Published on 01 Jun 2015 - 16:42

54

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Existence of increasing pair of labeled trees in an infinite sequence

Published on 26 Mar 2026 - 8:03

193

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Ordinal exponentiation, is $3^\mu = \mu$?

Published on 04 Jun 2015 - 15:10

67

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Does $\mathcal{P}(\alpha)$ have maximal well-founded subsets?

Published on 26 Mar 2026 - 9:20

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Ordinal arithmetic $(\omega+1) \cdot \omega$ and $\omega \cdot (\omega +1)$

Published on 07 Jun 2015 - 1:15

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Prob. 6 (c), Sec. 10, in Munkres' TOPOLOGY, 2nd ed: Set of elements having no immediate predecessors in the minimal uncountable well-ordered set

Published on 07 Jun 2015 - 20:28

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What is the cofinality of $2^{\aleph_\omega}$

Published on 09 Jun 2015 - 23:33

119

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Proving that $\alpha\approx|\alpha|$ is not constructive

Published on 29 Mar 2026 - 10:14

251

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Ordered fields with countable cofinality

Published on 26 Mar 2026 - 6:00

391

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First Uncountable Ordinal Cofinality: Needs AC?

Published on 16 Jun 2015 - 15:52

197

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Cardinals definable using ordinal arithmetics

Published on 23 Jun 2015 - 12:30

150

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Prove that for $\alpha$ an ordinal, $\alpha \le \omega^\alpha$.

Published on 23 Jun 2015 - 13:19

288

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The order isomorphism theorem without Replacement

Published on 30 Mar 2026 - 6:32

List Question

Ordinal arithmetic and limit ordinals

Ordinal addition is not commutative

A compact Hausdorff space

Existence of increasing pair of labeled trees in an infinite sequence

Ordinal exponentiation, is $3^\mu = \mu$?

Does $\mathcal{P}(\alpha)$ have maximal well-founded subsets?

Ordinal arithmetic $(\omega+1) \cdot \omega$ and $\omega \cdot (\omega +1)$

Prob. 6 (c), Sec. 10, in Munkres' TOPOLOGY, 2nd ed: Set of elements having no immediate predecessors in the minimal uncountable well-ordered set

What is the cofinality of $2^{\aleph_\omega}$

Proving that $\alpha\approx|\alpha|$ is not constructive

Ordered fields with countable cofinality

First Uncountable Ordinal Cofinality: Needs AC?

Cardinals definable using ordinal arithmetics

Prove that for $\alpha$ an ordinal, $\alpha \le \omega^\alpha$.

The order isomorphism theorem without Replacement

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