Topological Classification of Stratified Spaces

Name: Topological Classification of Stratified Spaces
Price: 37.93 USD
Availability: InStock
ISBN: 9780226885674

ISBN-10: 0226885674

ISBN-13: 9780226885674

Edition: 1994

Authors: Shmuel Weinberger

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Description:

This book provides the theory for stratified spaces, along with important examples and applications, that is analogous to the surgery theory for manifolds. In the first expository account of this field, Weinberger provides topologists with a new way of looking at the classification theory of singular spaces with his original results. Divided into three parts, the book begins with an overview of modern high-dimensional manifold theory. Rather than including complete proofs of all theorems, Weinberger demonstrates key constructions, gives convenient formulations, and shows the usefulness of the technology. Part II offers the parallel theory for stratified spaces. Here, the topological…

Book details

Copyright year: 1994
Publisher: University of Chicago Press
Publication date: 1/15/1995
Binding: Paperback
Pages: 298
Size: 5.98" wide x 8.94" long x 0.75" tall
Weight: 0.880
Language: English



Introduction



Manifold theory



Algebraic K-theory and topology



Surgery theory



Spacification and functoriality



Applications



General theory



Definitions and examples



Classification of stratified spaces



Transverse stratified classification



PT category



Controlled topology



Proof of main theorems in topology



Applications and illustrations



Manifolds and embedding theory revisited



Supernormal spaces and varieties



Group actions



Rigidity conjectures


Bibliography


Index