Xiao Quan XU(1), Mao Kang LUO(
In this paper, the concepts of quasi Z-continuous domains and Z-meet continuous domains are introduced, and some relations between Z-continuous domains, quasi Z-continuous domains, Z-meet continuous domains and the Hausdorff separation of Z-Lawson topology are investigated. It is proved that if a subset system Z satisfies certain conditions and P is a quasi Z-qcontinuous domain, then the Z-way below relation <