Lower attic

From Cantor's Attic
Revision as of 16:30, 25 December 2011 by Jdh (Talk | contribs)

Jump to: navigation, search

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

  • Up to The middle attic
  • $\Gamma$
  • $\omega_1^{ck}$
  • 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
  • [[\(\omega\)]]