# Difference between revisions of "Lower attic"

From Cantor's Attic

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− | Welcome to the lower attic, where we store the comparatively smaller notions of infinity. Roughly speaking, this is the realm | + | Welcome to the lower attic, where we store the comparatively smaller notions of infinity. Roughly speaking, this is the realm of countable ordinals and their friends. |

* Up to [[The middle attic]] | * Up to [[The middle attic]] | ||

+ | * $\omega_1^x$ | ||

+ | * [[admissible]] ordinals | ||

* $\Gamma$ | * $\Gamma$ | ||

* $\omega_1^{ck}$ | * $\omega_1^{ck}$ |

## Revision as of 16:33, 25 December 2011

Welcome to the lower attic, where we store the comparatively smaller notions of infinity. Roughly speaking, this is the realm of countable ordinals and their friends.

- Up to The middle attic
- $\omega_1^x$
- admissible ordinals
- $\Gamma$
- $\omega_1^{ck}$
- The $\epsilon_\alpha$ hierarchy
- $\epsilon_1$
- $\epsilon_0$
- Ordinals below $\omega^\omega$
- $\omega^3$
- $\omega^2$
- $\omega\cdot n+k$
- $\omega\cdot2+1$
- $\omega\cdot2$
- $\omega+n$
- $\omega+2$
- [[$\omega+1$]]
- Hilbert' hotel
- [[\(\omega\)]]