球面到球面的连续映射的微分拓扑度与代数拓扑度的关系以及应用  

Relation and Application between Degree of Continuous Functions in Differential Topology and Degree in Algebraic Topology

作　　者：金亚东[1] 施俊[1] 

机构地区：[1]江苏理工学院数理学院,江苏常州213001

出　　处：《江苏技术师范学院学报》2013年第2期55-57,共3页Journal of Jiangsu Teachers University of Technology

摘　　要：研究了球面到球面的连续映射f在微分拓扑的映射度等于在代数拓扑的映射度degAf。这就表明凡是与两种度中其中一种度有关的命题成立,那么与另一种度有关的命题也成立。在此结论下,给出了一些它的应用。In this paper, we studied degree of functions in differential topology0 to be equal to degree of functions in algebraic topology O- It showed that the proposition about one of two degrees is true if the proposition about another is true. Under this result, we get some applications.

关 键 词：微分拓扑的映射度 代数拓扑的映射度 Hopf分类定理 

分 类 号：O186.12[理学—数学]