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Category Theory - Oxford Scholarship Online
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Category Theory

Steve Awodey


This book is a text and reference book on Category Theory, a branch of abstract algebra. The book contains clear definitions of the essential concepts, which are illuminated with numerous accessible examples. It provides full proofs of all the important propositions and theorems, and aims to make the basic ideas, theorems, and methods of Category Theory understandable. Although it assumes few mathematical pre-requisites, the standard of mathematical rigour is not compromised. The material covered includes the standard core of categories; functors; natural transformations; equivalence; limits a ... More

Keywords: functors, natural transformations, equivalence, limits and colimits, functor categories, representables, Yoneda's lemma, adjoints, monads, cartesian closed categories

Bibliographic Information

Print publication date: 2006 Print ISBN-13: 9780198568612
Published to Oxford Scholarship Online: September 2007 DOI:10.1093/acprof:oso/9780198568612.001.0001


Affiliations are at time of print publication.

Steve Awodey, author
Carnegie Mellon University