List questions from ordinals

Published on 14 Oct 2014 - 0:10

110

Views

If $X$ is a subset of $\omega_{\alpha}$ such that $|X| < \aleph_{\alpha}$, then $|\omega_{\alpha} - X| = \aleph_{\alpha}$

Published on 14 Oct 2014 - 17:54

722

Views

Subsets of $ \mathbb Q $ of order type $ \omega^{\alpha}$ for each countable ordinal $\alpha $.

Published on 16 Oct 2014 - 17:34

212

Views

Proving that $ω_1$ is locally compact

Published on 17 Oct 2014 - 7:15

965

Views

Is $\omega_1$ metrizable?

Published on 17 Oct 2014 - 11:25

808

Views

(If exists) a set of all ordinals that set is an ordinal?

Published on 21 Oct 2014 - 21:13

345

Views

Example of a well-ordered set with a specific order-type

Published on 30 Oct 2014 - 11:02

116

Views

Are well-orders of the same recursive length recursively isomorphic?

Published on 04 Nov 2014 - 13:56

205

Views

Regarding functions on $\omega_1$

Published on 10 Nov 2014 - 5:56

1.1k

Views

Why are all von Neumann ordinals contained in each other?

Published on 13 Nov 2014 - 12:44

59

Views

to show that there is no injection from a finite successor of finite ordinal to itself

Published on 15 Nov 2014 - 11:55

270

Views

Is $0^\omega=1$?

Published on 16 Nov 2014 - 9:08

155

Views

How to deal with probability problems in proper class sample spaces?

Published on 22 Nov 2014 - 18:05

503

Views

Embedding $\omega_1$ in the hyperreals

Published on 24 Nov 2014 - 12:59

871

Views

Ordinal exponentiation identity with natural sum of exponents

Published on 24 Nov 2014 - 14:41

List Question

Ordinals as Trees

If $X$ is a subset of $\omega_{\alpha}$ such that $|X| < \aleph_{\alpha}$, then $|\omega_{\alpha} - X| = \aleph_{\alpha}$

Subsets of $ \mathbb Q $ of order type $ \omega^{\alpha}$ for each countable ordinal $\alpha $.

Proving that $ω_1$ is locally compact

Is $\omega_1$ metrizable?

(If exists) a set of all ordinals that set is an ordinal?

Example of a well-ordered set with a specific order-type

Are well-orders of the same recursive length recursively isomorphic?

Regarding functions on $\omega_1$

Why are all von Neumann ordinals contained in each other?

to show that there is no injection from a finite successor of finite ordinal to itself

Is $0^\omega=1$?

How to deal with probability problems in proper class sample spaces?

Embedding $\omega_1$ in the hyperreals

Ordinal exponentiation identity with natural sum of exponents

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