Fuzzy Topology,Lattice Topology And Hyperspace Topology

There is very closed relation among fuzzy topology,lattice topology and hyperspace topology.The special relation between some typical topology on these topological structunes is discussed.Compared to locally finite topology on hyperspace,strong Lawson topology on comˉplete lattice is introduced,and the difference between the corresponding structures is studied.The connectedness and locally compactness of nonˉempty closed subsets hyperspace with loˉcally finite topology are especially discussed.Some relative complete outcomes are obtained and some complicated and confused relationships are disclosed.