The second volume, 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 maj
Handbook of categorical algebra Volume 1
โ Scribed by Francis Borceux
- Book ID
- 127421307
- Publisher
- Cambridge University Press
- Year
- 1994
- Tongue
- English
- Weight
- 3 MB
- Series
- Encyclopedia of mathematics and its applications 50-51, 53 [i.e. 52]
- Category
- Library
- City
- Cambridge [England]; New York
- ISBN-13
- 9780521441803
No coin nor oath required. For personal study only.
โฆ Synopsis
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.
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Hardbound.
Hardbound.
Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different "items" would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a "name" or a convenient des
Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designa