摘要
本文主要讨论在序拓扑空间中,内插性质与序完备性的关系,改进了Nachbin一个定理。除此之外,还证明了,在序区间为紧的条件下,三种内插性质与序完备性都是等价的。
In this paper, we diseuss the relation between interpolation propertyand order-complete in an ordered topological space and improve Nachbin'stheorem. In addition we also prove the result: Let each order-interval becompact. Then the order-complete and the three inter polation prorertiesare equivalent.
关键词
序区间
序完备
内插性质
order-interval
order-complety
interpolation property
