ENGLISH

Algebraic and geometric surgery

By Andrew Ranicki

Book information

Publisher
Oxford University Press, USA
Year
2003
ISBN
9780198509240, 0198509243
Open Library ID
OL7400171M
Language
english
Format
PDF
Filesize
2 MB (1752826 bytes)
Series
Oxford Mathematical Monographs
Edition
illustrated edition
Pages
379\379
Library
Kolxo3
Time added
2009-07-20 03:45:11

Description

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, co-bordism, 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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