H-空间和拓扑半格中KKM点集的稳定性  

The Stability of the Set of KKM Points in H-space and Topological Semilattice

作　　者：胡明[1] 向淑文[1] 

机构地区：[1]贵州大学数学系,贵州贵阳550025

出　　处：《贵州大学学报（自然科学版）》2004年第2期118-123,共6页Journal of Guizhou University:Natural Sciences

摘　　要：在文 [1 ]中 ,作者针对线性拓扑空间中著名的KKM引理研究了KKM点的稳定性。本文在不具线性结构的H -空间和拓扑半格空间中进一步研究了点集的稳定性 ,证明了上述两类空间中KKM点集的通有稳定性和本质连通区的存在性。In , the authors have studied the stability of the set of KKM points with respect to the famous KKM lemma in the linear topological space. In this paper, we have given a further study for stability of the set of KKM points in H-space and topological semilattice without linear structure. We have proved that the set of KKM points has generic stability and there exists one essential component in the two spaces.

关 键 词：KKM点 H-KKM映射 L-KKM映射 通有稳定性 本质连通分支 

分 类 号：O177.91[理学—数学]