Compact pospaces
Posets with property DINT which are compact pospaces with respect to the interval topologies are characterized.
Posets with property DINT which are compact pospaces with respect to the interval topologies are characterized.
We characterize those regular continuous frames for which the least compactification is a perfect compactification. Perfect compactifications are those compactifications of frames for which the right adjoint of the compactification map preserves disjoint binary joins. Essential to our characterization is the construction of the frame analog of the two-point compactification of a locally compact Hausdorff space, and the concept of remainder in a frame compactification. Indeed, one of the characterizations...