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.
-continuous posets are common generalizations of continuous posets, completely distributive lattices, and unique factorization posets. Though the algebraic properties of -continuous posets had been studied by several authors, the topological properties are rather unknown. In this short note an intrinsic topology on a -continuous poset is defined and its properties are explored.
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