有理同倫論 [Rational Homotopy Theory] 下載 mobi epub pdf 電子書 2025

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[法] 菲利剋斯著

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齣版社：世界圖書齣版公司

ISBN：9787510058349

版次：1

商品編碼：11286427

包裝：平裝

外文名稱：Rational Homotopy Theory

開本：24開

齣版時間：2013-03-01

用紙：膠版紙

頁數：535

正文語種：英文

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內容簡介

　　R，ational homotopy theory has the disadvantage of discarding a considerable amount of information. For example， the homotopy groups of the sphere S'2 are non-zero in infinitelv many degrees whereas its rational homotopy groups vanish in all degrees above 3. By contrast， rational homotopy theory has the advantage of being remarkably computational. For example， there is not even a conjectural description of all the homotopy groups of any simply connect.ed finite CW complex， whereas for many of these the rational groups can be explicitly determined. And while rational homotopy theory is indeed simpler than ordinary homotopy theory， it is exactly this simplicity that makes it possible to address （if not alway-s to solve） a number of fundamental questions.