Handbook of Categorical Algebra

Volume 2, Categories and Structures
Erscheinungsjahr 2005
ISBN: 978-0-521-44179-7
Verlag: Cambridge University Press

Buch, Englisch, Band 51, 461 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 857 g

Reihe: Encyclopedia of Mathematics and its Applications

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.

Autoren/Hrsg.

Borceux, Francis

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik

Inhaltsverzeichnis

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.