Quasi-semicontinuous Lattices and Meet-semicontinuous Lattices
Qingguo Li · Mohu xitong yu shuxue · 2008
As a generalization of semicontinuous lattices,the quasi-semicontinuous lattice is introduced and its some basic properties are investigated.The main results of the theory of semicontinuous lattices are carried to quasi-semicontinuous lattices.Moreover,the relation among quasi-semcontinuous lattices,meet-continuous lattices,meet-semicontinuous lattices,semicontinuous lattices and strongly continuous lattices is studied.Finally the conditions under which the function space of semicontinuous lattices is semicontinuous are discussed.