Limits of small functors

Brian J. Day, Stephen Lack*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    38 Citations (Scopus)


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

    Original languageEnglish
    Pages (from-to)651-663
    Number of pages13
    JournalJournal of Pure and Applied Algebra
    Issue number3
    Publication statusPublished - Sept 2007


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