一致连续偏序集的特征和浓度

Character and Density on Uniform Continuous Posets

利用连续格理论讨论了一致连续偏序集的特征和浓度,证明了一致连续偏序集的特征和浓度与一致连续偏序集带上Scott拓扑时的拓扑空间的特征和浓度相等,它们分别小于一致连续偏序集带上Law-son拓扑时拓扑空间的特征和浓度.

By the theory of continuous lattice character and density on uniform continuous posets are discussed. And it is proved that the character and density on uniform continuous poset and those on the related space with Scott topology are consistent, less than that of the related space with Lawson topology respectively.