不动点与Nielsen数  

FIXED POINT AND Nielsen NUMBER

作　　者：雷呈凤[1] 肖文明[1] 马致祥 

机构地区：[1]南昌航空工业学院数学系,江西南昌330034 [2]北京交通管理干部学院,北京101601

出　　处：《南昌大学学报（理科版）》2004年第4期329-331,共3页Journal of Nanchang University(Natural Science)

基　　金：南昌航空工业学院科研基金资助项目(EC200307049)

摘　　要：通过研究拓扑空间上幂等自映射在基本群上诱导的作用和点同伦,得到与之同伦的,具有较好性质的自映射。并利用自映射这些性质,得到幂等自映射的Nielsen数不超过1的结论。同时亦为高阶同伦群为平凡的拓扑空间上的自映射的Nielsen数的计算提供了一个新思路。We proof that a self-mapping have preferably characteristic on topological space,is homotopic to power-equate self-mapping by it induces action on the fundamental group of the sapce and point homotopy.By the characteristices,be proof that the Nielsen number of power-equate self-mapping is not more than unit.Atyone time,be give one computing engineers to count the Nielsen number of self-mapping on space,if the higher dimensionality homotopy groups of the space are zero.

关 键 词：映射 粘接 同伦 NIELSEN数 

分 类 号：O189.2[理学—数学]