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
Higher Algebraby Jacob Lurie - Harvard University
Contents: Stable infinite-Categories; infinite-Operads; Algebras and Modules over infinte-Operads; Associative Algebras and Their Modules; Little Cubes and Factorizable Sheaves; Algebraic Structures on infinite-Categories; and more.
(13046 views)
A Gentle Introduction to Category Theory: the calculational approachby Maarten M. Fokkinga - University of Twente
These notes present the important notions from category theory. The intention is to provide a fairly good skill in manipulating with those concepts formally. This text introduces category theory in the calculational style of the proofs.
(15850 views)
Abstract and Concrete Categories: The Joy of Catsby Jiri Adamek, Horst Herrlich, George Strecker - John Wiley & Sons
A modern introduction to the theory of structures via the language of category theory, the emphasis is on concrete categories. The first five chapters present the basic theory, while the last two contain more recent research results.
(15323 views)
Category Theory for Scientistsby David I. Spivak - arXiv
We attempt to show that category theory can be applied throughout the sciences as a framework for modeling phenomena and communicating results. In order to target the scientific audience, this book is example-based rather than proof-based.
(7127 views)