抽象凸空间中KKM点的稳定性

The stability of KKM points in abstract convexity space

记M为所有抽象凸空间中KKM映射T组成的集合,F(T)为T的所有KKM点组成的集合.证明了存在一M的稠密剩余子集Q,使得T∈Q,T为稳定的,即T的KKM点的通有稳定性以及T∈M,至少存在一F(T)的本质连通区.

Let M be the collection of all KKM mappings, T is in abstract convexity spaced and denoted by F（T） the set of all KKM points of T. The existed dense residual subset Q of M such that for each T∈Q was proved,T is stable and there exists at least one essential component of F（T） for each T∈M.