Surgery on Simply-Connected Manifolds (Paperback, Softcover reprint of the original 1st ed. 1972)

This book is an exposition of the technique of surgery on simply-connected smooth manifolds. Systematic study of differentiable manifolds using these ideas was begun by Milnor [45] and Wallace [68] and developed extensively in the last ten years. It is now possible to give a reasonably complete theory of simply-connected manifolds of dimension ~ 5 using this approach and that is what I will try to begin here. The emphasis has been placed on stating and proving the general results necessary to apply this method in various contexts. In Chapter II, these results are stated, and then applications are given to characterizing the homotopy type of differentiable manifolds and classifying manifolds within a given homotopy type. This theory was first extensively developed in Kervaire and Milnor [34] in the case of homotopy spheres, globalized by S. P. Novikov [49] and the author [6] for closed 1-connected manifolds, and extended to the bounded case by Wall [65] and Golo [23]. The thesis of Sullivan [62] reformed the theory in an elegant way in terms of classifying spaces.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge, 65
Release date:	July 2012
First published:	1972
Authors:	William Browder
Dimensions:	229 x 152 x 8mm (L x W x T)
Format:	Paperback
Pages:	134
Edition:	Softcover reprint of the original 1st ed. 1972
ISBN-13:	978-3-642-50022-0
Categories:	Books > Science & Mathematics > Mathematics > Topology > General Promotions
LSN:	3-642-50022-6
Barcode:	9783642500220

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