[formula omitted]-Quasicontinuous posets.

In this paper, we consider a common generalization of both s 2 -continuous posets and quasicontinuous domains, and we introduce new concepts of way below relations and s 2 -quasicontinuous posets. The main results are: (1) The way below relation on an s 2 -quasicontinuous poset has the interpolation property; (2) The λ 2 -topology on an s 2 -quasicontinuous poset is completely regular; (3) A poset is s 2 -continuous iff it is meet s 2 -continuous and s 2 -quasicontinuous. [ABSTRACT FROM AUTHOR]