The category of supercontinuous posets

In this paper, we study the order structure—supercontinuous poset, a generalization of completely distributive lattice. The Cartesian product of supercontinuous posets and some other properties of supercontinuous posets are investigated. Also, the case of superalgebraic posets are studied and some remarks on the category of supercontinuous posets are given. © 2005 Elsevier Inc. All rights reserved