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- Title
ENRICHED INDEXED CATEGORIES.
- Authors
SHULMAN, MICHAEL
- Abstract
We develop a theory of categories which are simultaneously (1) indexed over a base category S with finite products, and (2) enriched over an S-indexed monoidal category V . This includes classical enriched categories, indexed and fibered categories, and internal categories as special cases. We then describe the appropriate notion of "limit" for such enriched indexed categories, and show that they admit "free cocompletions" constructed as usual with a Yoneda embedding
- Subjects
CATEGORIES (Mathematics); HOMOTOPY theory; ABELIAN groups; SHEAF theory; MODEL categories (Mathematics)
- Publication
Theory & Applications of Categories, 2013, Vol 28, Issue 21, p616
- ISSN
1201-561X
- Publication type
Article