objects such that commutes with certain colimits
is a -accessible functor (for a regular cardinal) if and are both -accessible categories and preserves -filtered colimits. is an accessible functor if it is -accessible for some regular cardinal .
The theory of accessible 1-categories is described in
- Michael Makkai, Robert Paré, Accessible categories: The foundations of categorical model theory Contemporary Mathematics 104. American Mathematical Society, Rhode Island, 1989.1989.
The theory of accessible -categories is the topic of section 5.4 of
Revised on January 5, 2014 09:03:03
by Urs Schreiber