Beyond Limit Ordinals

has defined an extension of the traditional notion of limit ordinals with what we calls "beyond limit ordinals".Googology guy's site - Beyond Limit Ordinals. Archived 2023-08-02.
== Definition ==
Let α and β be ordinals. Here is a copy of the original definition with corrections of minor typos.
For the cases in which α is a succesor ordinal, the βth α-Limit ordinal is the βth ordinal such that there is no (α-1)-Limit ordinal directly preceding, but for the case in wich α is a limit ordinal, the βth α-Limit ordinal is the βth ordinal such that there is no lower level limit ordinal directly preceding it, and a 0-Limit Ordinal is just an ordinal.
== Sources ==
Category:Transfinite ordinals