Homotopy classification of maps between r-1 connected 2r dimensional manifolds  

作　　者：Xu-an ZHAO Hong-zhu GAO Xiao-le SU 

机构地区：[1]School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China

出　　处：《Science China Mathematics》2007年第8期1093-1102,共10页中国科学：数学（英文版）

基　　金：the National Natural Science Foundation of China(Grant No.10671018)

摘　　要：In this paper,we study the homotopy classification of continuous maps between two r-1 connected 2r dimensional topological manifolds M,N.If we assume some knowledge on the homotopy groups of spheres,then the complete classification can be obtained from the homotopy invariants of M,N.We design an algorithm and compose a program to give explicit computations.In this paper, we study the homotopy classification of continuous maps between two r?1 connected 2r dimensional topological manifolds M, N. If we assume some knowledge on the homotopy groups of spheres, then the complete classification can be obtained from the homotopy invariants of M, N. We design an algorithm and compose a program to give explicit computations.

关 键 词：r-1 connected 2r dimensional manifolds homotopy groups classification of maps 

分 类 号：O189.23[理学—数学]