Surgery on Simply-Connected Manifolds by William Browder

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  • Title: Surgical procedure on Merely-Linked Manifolds
  • Author: William Browder
  • Category: Arithmetic
  • Date: December 2012
  • Lenguage: English
  • Pages: unknown
  • ISBN: ISBN: 364250020X

 

Ebook description:

This e book is an exposition of the strategy of surgical procedure on simply-connected easy manifolds. Systematic research of differentiable manifolds utilizing these concepts was begun by Milnor [45] and Wallace [68] and developed extensively within the final ten years. It’s now doable to offer a fairly full concept of simply-connected manifolds of dimension ~ 5 utilizing this strategy and that’s what I’ll attempt to start right here. The emphasis has been positioned on stating and proving the overall outcomes mandatory to use this technique in varied contexts. In Chapter II, these outcomes are acknowledged, after which purposes are given to characterizing the homotopy kind of differentiable manifolds and classifying manifolds inside a given homotopy kind. This concept was first extensively developed in Kervaire and Milnor [34] within the case of homotopy spheres, globalized by S. P. Novikov [49] and the writer [6] for closed 1-connected manifolds, and prolonged to the bounded case by Wall [65] and Golo [23]. The thesis of Sullivan [62] reformed the idea in a sublime approach by way of classifying areas

 

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