On Some Questions Of Semicontinuous Lattices And Strongly Continuous Lattices

Content: In this paper, we study some mapping properties of semicontinuous lattices and semialgebraic lattices, discuss a function space of strongly continuous lattices and give an embedding theorem of strongly continuous lattices. Then semi-Scott topology and semi-Lawson topology are introduced, and their several properties on semicontinuous lattices and strongly continuous lattices are proved.