Lectures on the H-Cobordism Theorem pdf epub mobi txt 电子书下载 2024

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John Milnor

Princeton University Press

1965-3-21

113

USD 11.50

Hardcover

9780691079967

图书标签: Milnor 数学 Topology 拓扑美国经典微分拓扑7 小径分岔的花园

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发表于2024-05-13

Lectures on the H-Cobordism Theorem epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Lectures on the H-Cobordism Theorem pdf epub mobi txt 电子书下载 2024

图书描述

Milnor's "Lectures on the h-cobordism theorem" consists of a proof and applications of the h-cobordism theorem, an important technical result that, among other things, leads immediately to a proof of the Poincare conjecture for smooth manifolds of dimension >= 5. The theorem was originally proved by Smale in 1962 (part of the basis for his Fields Medal) using handlebody techniques, but in this book Milnor presents a (partially) different proof using Morse theoretic lemmas due to Morse and Barden. Along the way, a number of theorems and techniques in differential topology are used or derived (including the Whitney trick, finger moves, bicollarings, surgery, extensions of embeddings and isotopies, smooth structures on unions, Poincare duality), which makes this valuable as much for the methods as for the final result. Definitely it is one of the best books for learning how to actually prove things in topology, mixing in Morse theory, Riemannian geometry, and algebraic topology, too.

Lectures on the H-Cobordism Theorem 下载 mobi epub pdf txt 电子书