关于连续DCPO的序一点注记

Some Notes on Continuous DCPO Order

研究连续DCPO的序对Fuzzy拓扑空间的分离公理的影响,并讨论经典拓扑范畴TOP与拓扑分子格范畴CDB之间的态射相互诱导问题,从而说明了Fuzzy拓扑把拓扑结构和序结构有机地融为一体.为研究经典拓扑学与Fuzzy拓扑学之间联系提供一点思路.

It is studied that continuous DCPO order gives an impact to separate axiom of Fuzzy topological space, and the inducement of morphism is discussed between classic topological category （TOP） and topological member space category （CDB） , therefore all of those demonstrate that fuzzy topology integrates topological isomorphism with order isomorphism. Some ideas are presented for studying the relation between classic topology and Fuzzy topology.