Abstract
AbstractFor enriched categories the correct notion of limit involves indexing by a module. This paper studies the question of cocompletion for a given set of indexing modules. As well as providing a simplified treatment of cocompleteness for ordinary categories, associated sheaves and associated stacks are also included as cocompletion processes for appropriate bases. In fact the saturation of a general set of indexing modules has properties which justify our use of the term “covering” for members of the saturation.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics,Statistics and Probability
Reference14 articles.
1. ENRICHED CATEGORIES AND COHOMOLOGY
2. Free colimits
3. [8] Kock A. , ‘Limits monad in categories’, Aarhus Univ. Matematisk Preprint No. 6, (1967/1968).
4. Metric spaces, generalized logic, and closed categories
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