Geometry of Frobenioids - part 1 -'Etale-like' and 'Frobenius-like Categories'

We say what Mochizuki means by Etale-like and Frobenius-like (it has to do with orderings and the underlying graph of the category).

[mearnsh]

inspirational, feel like I can get a fair sense of this even though I'm a decidedly novice mathematician! thanks. as it seems like no one can give a straight answer: how promising is IUTT in your view?

[grammaton]

But what's the precise definition of "frobenius like"?
Exactly the same as the one for etale but with the extra qualities you stated at the beginning (poset-like, non-trivial orderings?)