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OverviewThis 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 DetailsAuthor: 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: 9780198509240ISBN 10: 0198509243 Pages: 386 Publication Date: 26 September 2002 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: To order  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 ContentsPreface 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 IndexReviewsAn 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 Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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