Equivalent characterizations of accessible V-categories (part 1)

Giacomo Tendas – 11 March 2020

In this first talk I plan to give an overview on the known different characterizations of cocomplete accessible (= locally presentable) categories. In the ordinary context these are due to Gabriel and Ulmer, while in the enriched case, which is our setting, they are due to Kelly.

At the very end of the talk I'm going to mention what happens if the cocompleteness conditions are removed (teaser of Part 2).