Compact pospaces
Venu G. Menon (2003)
Commentationes Mathematicae Universitatis Carolinae
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Posets with property DINT which are compact pospaces with respect to the interval topologies are characterized.
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Displaying similar documents to “A note on topology of -continuous posets”
Compact pospaces
Continuity in partially ordered sets.
Menon, Venu G. (2008)
International Journal of Mathematics and Mathematical Sciences
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-distributive function lattices
Marcel Erné (2013)
Mathematica Bohemica
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It is known that for a nonempty topological space and a nonsingleton complete lattice endowed with the Scott topology, the partially ordered set of all continuous functions from into is a continuous lattice if and only if both and the open set lattice are continuous lattices. This result extends to certain classes of -distributive lattices, where is a subset system replacing the system of all directed subsets (for which the -distributive complete lattices are just...