Topological Characterization of Algebraic Lattices
Luo Shu-zhen · Journal of Jiangxi Normal University · 2009
By a purely topological method the characterizations over algebraic lattice,strongly algebraic dcpo and strongly algebraic lattice are discussed.The results are proved that a topology is super-coherent if and only if it is a Scott topology over a suitable strongly algebraic dcpo,its super-compact base is nonempty and closed under finitely intersection if and only if it is the Scott topology over a suitable algebraic lattice.