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.
具體描述
讀後感
評分
評分
評分
評分
用戶評價
Morse理論版本，拓撲部分比 Morse理論 完整。維數限製在引理6.13正交群和引理7.7 Stiefel流形
评分Morse理論版本，拓撲部分比 Morse理論 完整。維數限製在引理6.13正交群和引理7.7 Stiefel流形
评分配邊理論和莫爾斯理論（流形分解和奇點手術），殺死同倫群
评分Morse理論版本，拓撲部分比 Morse理論 完整。維數限製在引理6.13正交群和引理7.7 Stiefel流形
评分Morse理論版本，拓撲部分比 Morse理論 完整。維數限製在引理6.13正交群和引理7.7 Stiefel流形
相關圖書
本站所有內容均為互聯網搜索引擎提供的公開搜索信息，本站不存儲任何數據與內容，任何內容與數據均與本站無關，如有需要請聯繫相關搜索引擎包括但不限於百度，google,bing,sogou 等
© 2025 qciss.net All Rights Reserved. 小哈圖書下載中心 版权所有