Categorical Foundations: Special Topics in Order, Topology, Algebra, and Sheaf Theory

by Maria Cristina Pedicchio, Walter Tholen

Overview

Researchers, teachers and graduate students in algebra and topology—familiar with the very basic notions of category theory—will welcome this categorical introduction to some of the key areas of modern mathematics, without being forced to study category theory. Rather, each of the eight largely independent chapters analyzes a particular subject, revealing the power and applicability of the categorical foundations in each case.

Product Details

ISBN-13:	9780521834148
Publisher:	Cambridge University Press
Publication date:	11/03/2003
Series:	Encyclopedia of Mathematics and its Applications , #97
Edition description:	New Edition
Pages:	442
Product dimensions:	6.14(w) x 9.21(h) x 1.14(d)

Table of Contents

Introduction Walter Tholen; 1. Ordered sets via adjunction R. J. Wood; 2. Locales Jorge Picado, Ales Pultr and Anna Tozzi; 3. A functional approach to general topology Maria Manuel Clementino, Eraldo Giuli and Walter Tholen; 4. Regular, protomodular and abelian categories Dominique Bourn and Marino Gran; 5. Aspects of monads John MacDonald and Manuela Sobral; 6. Algebraic categories Maria Cristina Pedicchio and Fabrizio Rovatti; 7. Sheaf theory Claudia Centazzo and Enrico M. Vitale; 8. Beyond barr exactness: effective descent morphisms George Janelidze, Manuela Sobral and Walter Tholen.

Editorial Reviews

'The book will be very useful for graduate students and teachers, and inspiring for the researchers interested in the discussed topics as well as in category theory itself.' EMS Newsletter

From the Publisher