Surgery on compact manifolds
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Surgery on compact manifolds

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Published by Academic Press in London, New York .
Written in English


  • Manifolds (Mathematics),
  • Surgery (Topology)

Book details:

Edition Notes

Bibliography: p. 269-277.

Statement[by] C. T. C. Wall.
SeriesL.M.S. monographs ;, 1
LC ClassificationsQA613 .W35
The Physical Object
Paginationx, 280 p.
Number of Pages280
ID Numbers
Open LibraryOL4768540M
ISBN 100127327209
LC Control Number78141740

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  • the extension of surgery theory from the differentiable and piecewise linear categories to the topological category; • a survey of most of the activity in surgery up to ; • a setting for the subsequent development and applications of the surgery classification of manifolds. Surgery on Compact Manifolds C. T. C. Wall, A. A. Ranicki The publication of this book in marked the culmination of a particularly exciting period in the history of the topology of manifolds. 1. Surgery Below the Middle Dimension. In order to decide if a space X is homotopy equivalent to a manifold it is convenient to start with a normal map (˚;F):M!Xfrom a manifold M, and to consider the possibility of converting (˚;F) to a homotopy equivalence by a sequence of surgeries. Surgery on Compact Manifolds: Second Edition About this Title. C. T. C. Wall, University of Liverpool, Liverpool, by A. A. Ranicki, University of Edinburgh, Edinburgh, Scotland. Publication: Mathematical Surveys and Monographs Publication Year Volume 69 ISBNs: (print); (online)Author: C. Wall, A. Ranicki.

This is a new edition of the classic book on the surgery theory of compact manifolds, which is the standard book on the subiect. The original text has been supplemented by notes on subsequent developments, and the references have been. Introduction This book represents an attempt to collect and systematise the methods and main applications of the method of surgery, insofar as compact (but not nec- essarily connected, simply connected or closed) manifolds are involved. surgery on compact manifolds mathematical surveys and monographs Posted By Agatha Christie Ltd TEXT ID f6aa Online PDF Ebook Epub Library providence second edition les noeuds de dimensions superieures this book is an exposition of what is currently known about the fundamental groups of compact. Surgery is the most effective way of constructing manifolds. This is especially true in dimensions 3 and 4, where Kirby calculus provides a method for manipulating surgery diagrams. The groundbreaking results of Donaldson (on Lefschetz fibrations) and Giroux (on open book decompositions) now allow one to incorporate analyticCited by:

Surgery on Compact Manifolds (Mathematical Surveys and Monographs) by C. T. C. Wall and a great selection of related books, art and collectibles available now at The publication of this book in marked the culmination of a particularly exciting period in the history of the topology of manifolds. The world of high-dimensional manifolds had been opened up to the classification methods of algebraic topology by Thom's work in Price: $ Destination page number Search scope Search Text Search scope Search Text. Preliminaries: Note on conventions Basic homotopy notions Surgery below the middle dimension Appendix: Applications Simple Poincare complexes The main theorem: Statement of results An important special case The even-dimensional case The odd-dimensional case The bounded odd-dimensional case The bounded even-dimensional case Completion of the proof Patterns of application: Manifold .