摘要
在可拓凸集的基础上，利用可拓集合的凸性与普通集合的凸性的密切联系，研究了可拓凸锥的一些基本性质，给出了可拓拓扑线性空间中可拓凸集的分离定理，建立了可拓凸集的某些拓扑性质．在解不相容方程，不相容规划和解决最优化中的不相容问题，有广泛的实际应用背景．
Helped by connection of convexity in extension and ordinary sets and by extension convex set,the author studies some basic properties for extension convex cone, gives an extension-convex-set-separate theorem in extension topology linear space and builds topology property of extension convex set, which has a practical applying background in solving no-compatible eguation, programming and problem in optimization
关键词
分离定理
可拓凸集
拓扑线性空间
Cones
Topology
Convex sets
Linear space
Separation theorems
Incompatible-problem.
