List questions from ordinals

Published on 24 Mar 2024 - 14:31

31

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Find necessary and sufficient conditions for ordinal monotonicity.

Published on 29 Mar 2026 - 3:02

133

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Epsilon number cannot be a successor?

Published on 12 Jan 2015 - 13:29

109

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if $\alpha\leq\beta$ then there is $\gamma$ such as $\alpha+\gamma=\beta$

Published on 12 Jan 2015 - 23:30

634

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Order preserving injection from first uncountable ordinal to the real numbers

Published on 13 Jan 2015 - 16:40

793

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Uses of ordinals

Published on 14 Jan 2015 - 2:28

201

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Difference between a criteria of well-ordered and transitive in terms of an ordinal?

Published on 16 Jan 2015 - 14:55

746

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Prove $\alpha+\beta=\beta$ if $\alpha < \beta$

Published on 17 Jan 2015 - 12:38

237

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Show $\alpha$ is a limit ordinal $\leftrightarrow \alpha \neq 0$ and $\cup \alpha = \alpha$

Published on 18 Jan 2015 - 12:12

308

Views

Is this the real definition of an ordinal number?

Published on 21 Jan 2015 - 13:41

48

Views

If $x,y$ are ordinals and $x \cong y$ then $x = y$

Published on 21 Jan 2015 - 16:18

407

Views

Exponentiation on order types

Published on 25 Jan 2015 - 19:25

106

Views

Compact, sequential spaces

Published on 25 Jan 2015 - 20:23

495

Views

Directed limits of topological spaces and embeddings

Published on 02 Feb 2015 - 13:49

86

Views

Is there a strict superset of the reals with total order?

Published on 02 Feb 2015 - 23:16

List Question

Does the equality $\omega\cdot(\omega+1)=(\omega+1)\cdot\omega$ hold?

Find necessary and sufficient conditions for ordinal monotonicity.

Epsilon number cannot be a successor?

if $\alpha\leq\beta$ then there is $\gamma$ such as $\alpha+\gamma=\beta$

Order preserving injection from first uncountable ordinal to the real numbers

Uses of ordinals

Difference between a criteria of well-ordered and transitive in terms of an ordinal?

Prove $\alpha+\beta=\beta$ if $\alpha < \beta$

Show $\alpha$ is a limit ordinal $\leftrightarrow \alpha \neq 0$ and $\cup \alpha = \alpha$

Is this the real definition of an ordinal number?

If $x,y$ are ordinals and $x \cong y$ then $x = y$

Exponentiation on order types

Compact, sequential spaces

Directed limits of topological spaces and embeddings

Is there a strict superset of the reals with total order?

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