交半连续格的性质

Some Properties of Meet-semicontinuous Lattices

讨论了交半连续格的一些基本性质,在交半连续格中引入交半Scott开集簇,用其刻画交半连续格.同时,定义了交半连续格上的拓扑和交半连续格之间的映射,并证明了交半连续格的收缩仍是交半连续的.

In this paper, some properties of meet-semicontinuous lattices were discussed the characterizations of meet-semicontinuous lattices was described by introducing the concept of meet semi-Scott open collection. Furthermore, a topology on meet-semicontinuous lattices and functions between two meet-semicontinuous lattices was defined. And it can be proved that the retract of meet-semicontinuous lattices is semicontinuous.