Priestley Spaces, Quasi-hyperalgebraic Lattices and Smyth Powerdomains
Jin, Bo Bo, Yang, Mao, Kang, Luo - · Acta Scientiarum Naturalium Universitatis Sunyatseni · 2006
We introduce the concept of quasi-hyperalgebraic lattice and prove that a complete latticeis a Priestley space with respect to the interval topology if and only if it is quasi-hyperalgebraic.Some characterizations of quasi-hyperalgebraic lattices are presented.We also prove that the Smythpowerdomain of a quasi-hyperalgebraic lattice is hyperalgebraic.