一致半连续格

Uniform semicontinuous lattices

给出一致半连续格的概念及其若干性质,利用一致半素极小集的方法阐述了映射的一致半连续性、保坩u关系和保一致半素极小集之间的联系,并得到一致半连续格的任意收缩仍是一致半连续格.

The concept of uniform semicontinuous lattice is introduced and examined. By the method of uniform semiprime minimal subsets, the relationships among the uniform semicontinuous of the mapping, preserving u and the uniform semiprime minimal subsets are explained. In addition, it is proved that any retract of a uniform semicontinuous lattice is still uniform semicontinuous.