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有理同伦论 [Rational Homotopy Theory] 下载 mobi epub pdf 电子书 2024

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[法] 菲利克斯著

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发表于2024-11-27

图书介绍

出版社：世界图书出版公司

ISBN：9787510058349

版次：1

商品编码：11286427

包装：平装

外文名称：Rational Homotopy Theory

开本：24开

出版时间：2013-03-01

用纸：胶版纸

页数：535

正文语种：英文

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内容简介

　　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.