Limits of small functors
Category Theory
2010-09-10 v1
Abstract
For a small category K enriched over a suitable monoidal category V, the free completion of K under colimits is the presheaf category [K*,V]. If K is large, its free completion under colimits is the V-category PK of small presheaves on K, where a presheaf is small if it is a left Kan extension of some presheaf with small domain. We study the existence of limits and of monoidal closed structures on PK.
Cite
@article{arxiv.math/0610439,
title = {Limits of small functors},
author = {Brian J. Day and Stephen Lack},
journal= {arXiv preprint arXiv:math/0610439},
year = {2010}
}
Comments
17 pages