证明了:(1)具有性质M的dcpo为拟连续domain当且仅当其上的下拓扑开集格在集合包含序下为连续格;(2)对于dcpo L,L为拟连续domain当且仅当∑L的Hoare空间为局部强紧空间。
In this paper we prove that (1) For a dcpo L with property M, L is a quasicontinuous domain if and only if (ω)(L), lohtain in) is a continuous lattice, where ω(L) is the lower topology on L; and (2) For a dcpo L, L is a quasicontinuous domain if and only if the Hoare space of ∑L is a locally strongly compact space.