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
Category Theory- Wikibooks
This book is an introduction to category theory, written for those who have some understanding of one or more branches of abstract mathematics, such as group theory, analysis or topology. It contains examples drawn from various branches of math.
(14812 views)
Functors and Categories of Banach Spacesby Peter W. Michor - Springer
The aim of this book is to develop the theory of Banach operator ideals and metric tensor products along categorical lines: these two classes of mathematical objects are endofunctors on the category Ban of all Banach spaces in a natural way.
(13354 views)
Model Categories and Simplicial Methodsby Paul Goerss, Kristen Schemmerhorn - Northwestern University
There are many ways to present model categories, each with a different point of view. Here we would like to treat model categories as a way to build and control resolutions. We are going to emphasize the analog of projective resolutions.
(12467 views)
Higher Operads, Higher Categoriesby 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.
(15540 views)