Description

Book Synopsis
This text provides topologists with a new way of looking at the classification theory of singular spaces. Divided into three parts, the book begins with an overview of high-dimensional manifold theory. It then offers the parallel theory for stratified spaces. Applications are also included.

Table of Contents
Part 1 Manifold theory: algebraic K-theory and topology; surgery theory; spacification and functoriality; applications. Part 2 General theory: definitions and examples; classification of stratified spaces; transverse stratified classification; PT category; controlled topology; proof of main theorems in topology. Part 3 Applications and illustrations: manifolds and embedding theory revisited; supernormal spaces and varieties; group actions; rigidity conjectures.

The Topological Classification of Stratified

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A Paperback / softback by Shmuel Weinberger

15 in stock


    View other formats and editions of The Topological Classification of Stratified by Shmuel Weinberger

    Publisher: The University of Chicago Press
    Publication Date: 15/01/1995
    ISBN13: 9780226885674, 978-0226885674
    ISBN10: 0226885674
    Also in:
    Mathematics Geometry Topology

    Description

    Book Synopsis
    This text provides topologists with a new way of looking at the classification theory of singular spaces. Divided into three parts, the book begins with an overview of high-dimensional manifold theory. It then offers the parallel theory for stratified spaces. Applications are also included.

    Table of Contents
    Part 1 Manifold theory: algebraic K-theory and topology; surgery theory; spacification and functoriality; applications. Part 2 General theory: definitions and examples; classification of stratified spaces; transverse stratified classification; PT category; controlled topology; proof of main theorems in topology. Part 3 Applications and illustrations: manifolds and embedding theory revisited; supernormal spaces and varieties; group actions; rigidity conjectures.

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