Toposes, Triples and Theories by Michael Barr, Charles Wells
Publisher: Springer-Verlag 2005
ISBN/ASIN: 0387961151
ISBN-13: 9780387961156
Number of pages: 303
As its title suggests, this book is an introduction to three ideas and the connections between them. Chapter 1 is an introduction to category theory which develops the basic constructions in categories needed for the rest of the book. Chapters 2, 3 and 4 introduce each of the three topics of the title and develop them independently up to a certain point. We assume that the reader is familiar with concepts typically developed in first-year graduate courses, such as group, ring, topological space, and so on.
Mathematics Category Theory