Small limits of functors

Brian Day and Stephen Lack

For a small category K enriched over a suitable symmetric monoidal closed category V, the free completion under colimits of K is the presheaf category [Kop,V]. If K is large, the free completion 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.


Click here to download a pdf file of the complete paper, or get it from the arXiv at math.CT/0610439 (these links are from the mirror in Australia).


Steve Lack
Last modified: Mon May 1 10:38:12 EST 2006