Algebraic and Geometric Surgery
Author:   Andrew Ranicki (, Department of Mathematics and Statistics, University of Edinburgh)
Publisher:   Oxford University Press
ISBN:  

9780198509240


Pages:   386
Publication Date:   26 September 2002
Format:   Hardback
Availability:   To order   Availability explained
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Algebraic and Geometric Surgery


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Overview

This book is an introduction to surgery theory: the standard classification method for high-dimensional manifolds. It is aimed at graduate students who have already had a basic topology course, and would now like to understand the topology of high-dimensional manifolds. This text contains entry-level accounts of the various prerequisites of both algebra and topology, including basic homotopy and homology, Poincare duality, bundles, cobordism, embeddings, immersions, Whitehead torsion, Poincare complexes, spherical fibrations and quadratic forms and formations. While concentrating on the basic mechanics of surgery, this book includes many worked examples, useful drawings for illustration of the algebra and references for further reading.

Full Product Details

Author:   Andrew Ranicki (, Department of Mathematics and Statistics, University of Edinburgh)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Dimensions:   Width: 16.20cm , Height: 2.50cm , Length: 24.20cm
Weight:   0.672kg
ISBN:  

9780198509240


ISBN 10:   0198509243
Pages:   386
Publication Date:   26 September 2002
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

Preface 1: The surgery classification of manifolds 2: Manifolds 3: Homotopy and homology 4: Poincaré duality 5: Bundles 6: Cobordism theory 7: Embeddings, immersions and singularities 8: Whitehead torsion 9: Poincaré complexes and spherical fibrations 10: Surgery on maps 11: The even-dimensional surgery obstruction 12: The odd-dimensional surgery obstruction 13: The structure set References Index

Reviews

An excellent framework for various courses in Surgery Theory ... very readable ... I read this fine and carefully written book with great pleasure, and highly recommend it for everyone who wants to undertake a deeper study of Surgery Theory and its Applications. Alberto Cavicchioli (Modena), Zentralblatt MATH


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