Categories For The Working Mathematician; Author: Maclane, Saunders; Editor: Gehring, F. W.; Hardback; Book

Author: Maclane, Saunders; Editor: Gehring, F. W.
Edition #2 Series#:5; Graduate Texts in Mathematics; Hardback; Book; 10 Figures, Bibliography
355 pages
Published: August 1998
Springer-Verlag New York Inc.
ISBN: 0387984038

Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. It begins with the foundations, illuminating concepts such as category, functor, natural transformation, and duality. It then continues by extensively illustrating these categorical concepts while presenting applications to more advanced topics. This second edition includes many revisions and additions, including two new chapters exploring topics of active interest.This text looks at the concepts of category, functor, natural transformation, and duality - and then adjoint functors - which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits.