**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.

Download or read it online for free here:

**Download link**

(multiple formats)

## Similar books

**Seminar on Triples and Categorical Homology Theory**

by

**B. Eckmann**-

**Springer**

This volume concentrates a) on the concept of 'triple' or standard construction with special reference to the associated 'algebras', and b) on homology theories in general categories, based upon triples and simplicial methods.

(

**6884**views)

**Categories and Modules**

by

**Takahiro Kato**-

**viXra.org**

Modules and morphisms among them subsume categories and functors and provide more general framework to explore the theory of structures. In this book we generalize the basic notions and results of category theory using this framework of modules.

(

**3294**views)

**Higher Operads, Higher Categories**

by

**Tom Leinster**-

**arXiv**

Higher-dimensional category theory is the study of n-categories, operads, braided monoidal categories, and other such exotic structures. It draws its inspiration from topology, quantum algebra, mathematical physics, logic, and computer science.

(

**7492**views)

**Seven Sketches in Compositionality: An Invitation to Applied Category Theory**

by

**Brendan Fong, David I Spivak**-

**arXiv.org**

This book is an invitation to discover advanced topics in category theory through concrete, real-world examples. The tour takes place over seven sketches, such as databases, electric circuits, etc, with the exploration of a categorical structure.

(

**939**views)