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

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John Milnor 作者

Princeton University Press

译者

1965-3-21 出版日期

113 页数

USD 11.50 价格

Hardcover

丛书系列

9780691079967 图书编码

Lectures on the H-Cobordism Theorem 在线电子书图书标签: 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2024-06-14

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

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

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内容完整而且自洽。细节很充分，有些内容如果熟悉其实可以看得很快。只需要基本的微分流形奇异同调（和黎曼几何）知识就可以读下来。但是为什么不重新排版啊？老式打字机排版看着太难受了！

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Morse理论版本，拓扑部分比 Morse理论完整。维数限制在引理6.13正交群和引理7.7 Stiefel流形

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配边理论和莫尔斯理论（流形分解和奇点手术），杀死同伦群

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Lectures on the H-Cobordism Theorem 在线电子书著者简介

Lectures on the H-Cobordism Theorem 在线电子书图书目录

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

Lectures on the H-Cobordism Theorem 在线电子书图书描述

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.

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