Handbook of Categorical Algebra: Volume 1, Basic Category Theory

ISBN-13: 9780521441780 / Angielski / Twarda / 1994 / 364 str.

Francis Borceux; G. -C Rota; B. Doran

Opis

A Handbook of Categorical Algebra, in three volumes, is a detailed account of everything a mathematician needs to know about category theory. Each volume is self-contained and is accessible to graduate students with a good background in mathematics. Volume 1 is devoted to general concepts. After introducing the terminology and proving the fundamental results concerning limits, adjoint functors and Kan extensions, the categories of fractions are studied in detail; special consideration is paid to the case of localizations. The remainder of the first volume studies various "refinements" of the fundamental concepts of category and functor.

Recenzje

"...these volumes will be of enormous value to graduate students in pure or applied category theory." Martin Hyland, Mathematical Reviews

Spis treści

Introduction; 1. The language of categories; 2. Limits; 3. Adjoint functors; 4. Generators and projectives; 5. Categories of fractions; 6. Flat functors and Cauchy completeness; 7. Bicategories and distributors; 8. Internal category theory; Bibliography; Index.