In order to study fuzzy topology and general topology in view of topological lattice, many researches have been carried out. Because of the lack of reverse order involution, there are some fundamental works, such as t...In order to study fuzzy topology and general topology in view of topological lattice, many researches have been carried out. Because of the lack of reverse order involution, there are some fundamental works, such as the theory of uniformity and metrization to be considered. In this note, we introduce the notion of uniformity on completely distributive lattice in terms of cover systems, and show that it is a good extension, we obtain some properties and prove that the equivalence of complete regularity and uniformizability on completely distributive lattices.展开更多
The researches of limits in categories are an important and essential problem in category theory. If the limit and colimit structures in a concrete category having limit and colimit are constructed, then a lot of prop...The researches of limits in categories are an important and essential problem in category theory. If the limit and colimit structures in a concrete category having limit and colimit are constructed, then a lot of properties in the category will become展开更多
UP till now there has been much spectacular and creative work about the theories of uniformi-ties and metrics in topological lattice.But this is mostly generalizations and developmentsof Hutton’s and Erceg’s pointle...UP till now there has been much spectacular and creative work about the theories of uniformi-ties and metrics in topological lattice.But this is mostly generalizations and developmentsof Hutton’s and Erceg’s pointless work.They cannot directly reflect the characteristics ofpointwise topology.In this note we shall set up a theory of pointwise uniformity and a theoryof pointwise metric on fuzzy lattices.展开更多
文摘In order to study fuzzy topology and general topology in view of topological lattice, many researches have been carried out. Because of the lack of reverse order involution, there are some fundamental works, such as the theory of uniformity and metrization to be considered. In this note, we introduce the notion of uniformity on completely distributive lattice in terms of cover systems, and show that it is a good extension, we obtain some properties and prove that the equivalence of complete regularity and uniformizability on completely distributive lattices.
文摘The researches of limits in categories are an important and essential problem in category theory. If the limit and colimit structures in a concrete category having limit and colimit are constructed, then a lot of properties in the category will become
文摘UP till now there has been much spectacular and creative work about the theories of uniformi-ties and metrics in topological lattice.But this is mostly generalizations and developmentsof Hutton’s and Erceg’s pointless work.They cannot directly reflect the characteristics ofpointwise topology.In this note we shall set up a theory of pointwise uniformity and a theoryof pointwise metric on fuzzy lattices.
