User blog comment:Nedherman1/Is it possible something like omega^...(n)...^omega?/@comment-27516045-20191214190657/@comment-39541634-20191214194910

@Denis

There seems to be a problem with your analysis.

According to your definition:

w^^(w+1) = w^(w^^w) = w^e0 = e0

And it remains at e0 for any finite number of arrows.