Article ID Journal Published Year Pages File Type
4598312 Journal of Pure and Applied Algebra 2007 13 Pages PDF
Abstract

For a small category KK enriched over a suitable monoidal category VV, the free completion of KK under colimits is the presheaf category [Kop,V]. If KK is large, its free completion under colimits is the VV-category PKPK of small presheaves on KK, 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 PKPK.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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