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Algebraic and Geometric Surgery
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Algebraic and Geometric Surgery

by Andrew Ranicki

Book Details

Format Hardback or Cased Book
Book Series Oxford Mathematical Monographs
ISBN-10 0198509243
ISBN-13 9780198509240
Publisher Oxford University Press
Imprint Oxford University Press
Country of Manufacture GB
Country of Publication GB
Publication Date Sep 26th, 2002
Print length 386 Pages
Weight 672 grams
Dimensions 24.20 x 16.20 x 2.50 cms
Product Classification: Algebra Algebraic geometry Analytic topology
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This book provides an introduction to surgery theory; the standard classification method for high dimension manifolds.
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.

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