164 citations · 1.4k across the 51 of their papers we have counts for
52 papers
On -categorical -cosmoi
John Bourke, Stephen Lack
Recently Riehl and Verity have introduced -cosmoi, which are certain simplicially enriched categories with additional structure. In this paper we investigate those …
Accessible categories with a class of limits
Stephen Lack, Giacomo Tendas
In this paper we characterize those accessible -categories that have limits of a specified class. We do this by introducing the notion of companion for a…
The oplax limit of an enriched category
Soichiro Fujii, Stephen Lack
We show that 2-categories of the form $\mathscr{B}\mbox{-}\mathbf{Cat}$ are closed under slicing, provided that we allow to range over bicategories (rather than, say,…
What is the universal property of the 2-category of monads?
Stephen Lack, Adrian Miranda
For a 2-category , we consider Street's 2-category Mnd() of monads in , along with Lack and Street's 2-category EM() and the ide…
Virtual concepts in the theory of accessible categories
Stephen Lack, Giacomo Tendas
We provide a new characterization of enriched accessible categories by introducing the two new notions of virtual reflectivity and virtual orthogonality as a generalization of the…
Flat vs. filtered colimits in the enriched context
Stephen Lack, Giacomo Tendas
The importance of accessible categories has been widely recognized; they can be described as those freely generated in some precise sense by a small set of objects and, because of…