一致极小集及其对一致连续偏序集的应用

Uniform Minimal Sets and Their Applications to Uniform Continuous Posets

对于一致极小集,讨论了它的一些性质及与一致连续偏序集的关系,给出了一致连续偏序集中保一致极小集映射的一些等价刻划。最后,得到了关于保一致极小集映射的扩张定理。

For uniform minimal set, some of its properties and the relations are discussed, some equivalent characterizations of the mapping preserving with uniform continuous posets uniform minimal set are given. Finally the corresponding extension theorem is arrived.