Handbook of categorical algebra 1 : basic category theory

By: Francis BorceuxMaterial type: TextTextSeries: Encyclopedia of Mathematics and its Applications ; 50Publication details: Cambridge: Cambridge University Press, [c1994]Description: 345 pISBN: 9780521061193LOC classification: QA169
Contents:
Introduction to this handbook 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
Summary: A 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, with the first being essentially self-contained, and are accessible to graduate students with a good background in mathematics. Volume 1, which is devoted to general concepts, can be used for advanced undergraduate courses on category theory. 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.
List(s) this item appears in: Handbooks
Tags from this library: No tags from this library for this title. Log in to add tags.
    Average rating: 0.0 (0 votes)
Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 4 QA169 (Browse shelf (Opens below)) Checked out to Arup Datta (0008448394) Invoice no. IN 66 ; Date 08-04-2019 01/02/2025 01985
Total holds: 0

Introduction to this handbook
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

A 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, with the first being essentially self-contained, and are accessible to graduate students with a good background in mathematics. Volume 1, which is devoted to general concepts, can be used for advanced undergraduate courses on category theory. 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.

There are no comments on this title.

to post a comment.