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Surgery On Simply-connected Manifolds (ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 2. Folge) by Browder, William is a nonfiction available to read on EtoBox.

What is Surgery On Simply-connected Manifolds (ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 2. Folge) about?

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.

Who reads Surgery On Simply-connected Manifolds (ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 2. Folge)?

Author

Browder, William

Publisher

Springer Spektrum. in Springer-Verlag GmbH

Published

1972

Language

EN

ISBN

9783540056294

Category

nonfiction

Subjects

Mathematics, Stem