**Basic Concepts of Enriched Category Theory**

by Max Kelly

**Publisher**: Cambridge University Press 2005**ISBN/ASIN**: 0521287022**ISBN-13**: 9780521287029**Number of pages**: 143

**Description**:

Although numerous contributions from divers authors have brought enriched category theory to a developed state, there is still no connected account of the theory, or even of a substantial part of it. The present book is designed to supply the want in part, by giving a fairly complete treatment of the limited area to which the title refers. The basic concepts of category theory certainly include the notion of functor-category, of limit and colimit, of Kan extension, and of density; with their applications to completions, perhaps including those relative completions given by categories of algebras for limit-defined theories.

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