稳定同伦群  

Stable homotopy groups

作　　者：王国祯 徐宙利 Guozhen Wang;Zhouli Xu(不详;Department of Mathematics,University of California San Diego,La Jolla,CA 92093,USA)

机构地区：[1]复旦大学上海数学中心,上海200438 [2]Department of Mathematics,University of California San Diego

出　　处：《中国科学：数学》2023年第4期543-552,共10页Scientia Sinica：Mathematica

摘　　要：稳定同伦论是研究同伦论中在双角锥操作下不变的部分的理论.它具有丰富的结构,是目前为止同伦论研究的重点.本文简要介绍稳定同伦论的基本概念及相关内容,包括稳定同伦范畴的构造、稳定同伦论与配边理论和怪球分类的联系、Adams谱序列以及母体同伦论.Stable homotopy theory investigates those objects in homotopy theory that are invariant under the suspension.It has very rich structures and is the main focus of the study of homotopy theory up to now.This paper gives a brief introduction to the stable homotopy theory and the related topics,including the construction of the stable homotopy category,the relationships of the stable homotopy theory with the cobordism and the classification of exotic spheres,the Adams spectral sequence,and the motivic homotopy theory.

关 键 词：同伦群 ADAMS谱序列 母体同伦论 

分 类 号：O189.23[理学—数学]