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Lectures on the H-Cobordism Theorem 2024 pdf epub mobi 電子書下載

Lectures on the H-Cobordism Theorem

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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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發表於2024-05-17

Lectures on the H-Cobordism Theorem 2024 pdf epub mobi 電子書下載

Lectures on the H-Cobordism Theorem 2024 pdf epub mobi 電子書下載

Lectures on the H-Cobordism Theorem 2024 pdf epub mobi 電子書下載

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出版者:Princeton University Press

作者:John Milnor

出品人:

頁數:113

譯者:

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

Lectures on the H-Cobordism Theorem 2024 pdf epub mobi 電子書下載

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Lectures on the H-Cobordism Theorem pdf epub mobi 用戶評價

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內容完整而且自洽。細節很充分，有些內容如果熟悉其實可以看得很快。隻需要基本的微分流形奇異同調（和黎曼幾何）知識就可以讀下來。但是為什麼不重新排版啊？老式打字機排版看著太難受瞭！

評分☆☆☆☆☆

內容完整而且自洽。細節很充分，有些內容如果熟悉其實可以看得很快。隻需要基本的微分流形奇異同調（和黎曼幾何）知識就可以讀下來。但是為什麼不重新排版啊？老式打字機排版看著太難受瞭！

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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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配邊理論和莫爾斯理論（流形分解和奇點手術），殺死同倫群

評分☆☆☆☆☆

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

Lectures on the H-Cobordism Theorem 2024 pdf epub mobi 電子書下載

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