Category Theory

Front Cover
Oxford University Press, 2006 - Mathematics
1 Review
This text and reference book on Category Theory, a branch of abstract algebra, is aimed not only at students of Mathematics, but also researchers and students of Computer Science, Logic, Linguistics, Cognitive Science, Philosophy, and any of the other fields that now make use of it. Containing clear definitions of the essential concepts, illuminated with numerous accessible examples, and providing full proofs of all important propositions and theorems, this book aims to make the basic ideas, theorems, and methods of Category Theory understandable to this broad readership. 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 and colimits; functor categories; representables; Yoneda's lemma; adjoints; monads.
  

What people are saying - Write a review

User Review - Flag as inappropriate

Useful starting point as a beginner. Good range of examples and exercises.

Contents

2
23
3
45
4
63
Exponentials
105
Functors and naturality
125
Categories of diagrams
159
Adjoints
179
Monads and algebras
223
References
249
Copyright

Common terms and phrases

Bibliographic information