Handbook of Categorical Algebra: Volume 2, Categories and Structures

Second in a three part set, this volume introduces important classes of categories (abelian, monadic, fibred, etc.).

Francis Borceux (Author)

9780521441797, Cambridge University Press

Hardback, published 3 November 1994

464 pages, 250 exercises
24.1 x 16.1 x 3 cm, 0.828 kg

The Handbook of Categorical Algebra is designed to give, in three volumes, a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. The volumes are written in sequence. The second, which assumes familiarity with the material in the first, introduces important classes of categories that have played a fundamental role in the subject's development and applications. In addition, after several chapters discussing specific categories, the book develops all the major concepts concerning Benabou's ideas of fibred categories. There is ample material here for a graduate course in category theory, and the book should also serve as a reference for users.

Preface
Introduction to the handbook
1. Abelian categories
2. Regular categories
3. Algebraic theories
4. Monads
5. Accessible categories
6. Enriched category theory
7. Topological categories
8. Fibred categories
Bibliography
Index.

Subject Areas: Mathematical foundations [PBC]