Surgery on Simply Connected Manifolds is popular PDF and ePub book, written by William Browder in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Surgery on Simply Connected Manifolds can be Read Online from any device for your convenience.
Surgery on Simply Connected Manifolds Book PDF Summary
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.
Detail Book of Surgery on Simply Connected Manifolds PDF
- Author : William Browder
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9783642500206
- Genre : Mathematics
- Total Page : 141 pages
- Language : English
- PDF File Size : 17,9 Mb
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