
Preface  Table of Contents  Supplementary Material 
Graduate Studies in Mathematics 2006; 331 pp; hardcover Volume: 74 ISBN10: 0821838091 ISBN13: 9780821838099 List Price: US$65 Member Price: US$52 Order Code: GSM/74 See also: Computational Topology: An Introduction  Herbert Edelsbrunner and John L Harer Differential Algebraic Topology: From Stratifolds to Exotic Spheres  Matthias Kreck  Modern topology uses very diverse methods. This book is devoted largely to methods of combinatorial topology, which reduce the study of topological spaces to investigations of their partitions into elementary sets, and to methods of differential topology, which deal with smooth manifolds and smooth maps. Many topological problems can be solved by using either of these two kinds of methods, combinatorial or differential. In such cases, both approaches are discussed. One of the main goals of this book is to advance as far as possible in the study of the properties of topological spaces (especially manifolds) without employing complicated techniques. This distinguishes it from the majority of other books on topology. The book contains many problems; almost all of them are supplied with hints or complete solutions. Request an examination or desk copy. Readership Advanced undergraduates and graduate students interested in combinatorial and differential topology. Reviews "This book is a tour de force introduction to combinatorial and differential topology ... The author strikes a perfect balance between rigor and intuition, which allows him to delve much deeper into the chosen topics than is customary for an introductory topology course."  Mathematical Reviews 


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