偏序集上的弱Scott拓扑与弱测度拓扑

Weak Scott Topology and Weak Measure Topology on Posets

讨论偏序集的s_(2)连续性和弱Scott拓扑的一些性质:给出s_(2)连续偏序集上伴随的一些性质;定义弱测度拓扑,研究s_(2)连续偏序集上弱测度拓扑的性质;利用弱测度拓扑给出s_(2)交连续偏序集的等价刻画;研究弱Scott拓扑的连通性.

Some properties of s_(2)continuous posets and weak Scott topology of posets are discussed.The main contents are as follows:some properties of adjoint on s_(2)continuous posets are given;weak measure topology is defined,and the properties of weak measure topology on s_(2)continuous posets are studied;by using weak measure topology,the equivalent characterization of s_(2)meet continuous poset is given;the connectivity of weak Scott topology is studied.