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Ends of Complexes 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Hughes, Bruce; Hughes, B.; Ranicki, A. 作者

译者

1996-8 出版日期

380 页数

$ 207.92 价格

丛书系列

9780521576253 图书编码

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Ends of Complexes 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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The ends of a topological space are the directions in which it becomes non-compact by tending to infinity. The tame ends of manifolds are particularly interesting, both for their own sake, and for their use in the classification of high-dimensional compact manifolds. The book is devoted to the related theory and practice of ends, dealing with manifolds and CW complexes in topology and chain complexes in algebra. The first part develops a homotopy model of the behaviour at infinity of a non-compact space. The second part studies tame ends in topology. Tame ends are shown to have a uniform structure, with a periodic shift map. Approximate fibrations are used to prove that tame manifold ends are the infinite cyclic covers of compact manifolds. The third part translates these topological considerations into an appropriate algebraic context, relating tameness to homological properties and algebraic K- and L-theory.

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