Lectures on the H-Cobordism Theorem

Lectures on the H-Cobordism Theorem pdf epub mobi txt 電子書 下載2025

出版者:Princeton University Press
作者:John Milnor
出品人:
頁數:113
译者:
出版時間:1965-3-21
價格:USD 11.50
裝幀:Hardcover
isbn號碼:9780691079967
叢書系列:
圖書標籤:
  • Milnor 
  • 數學 
  • Topology 
  • 拓撲 
  • 美國 
  • 經典 
  • 微分拓撲7 
  • 小徑分岔的花園 
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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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配邊理論和莫爾斯理論(流形分解和奇點手術),殺死同倫群

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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

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