Forum:Hyper-Cantor normal form

How to define the Cantor's normal form, using the base \(\Omega\) (with the purposes of the ordinal collapsing functions)? It seems that writing the ordinal \(\theta(\Omega*\omega^2)\) as \(\theta(\omega^{\Omega+2})\) makes it easier to fit the usual Cantor's normal form, as we avoid multiple multiplications in a single non-additively principal ordinal: \(\theta(\Omega*\omega^2)\) can be expanded to \(\theta(\Omega*\omega*\omega)\), and it's probably escapes the Cantor's normal form. Ikosarakt1 (talk ^ contribs) 10:27, August 11, 2013 (UTC)