Order structures and topological structures
DeMarr, R. E.
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Displaying similar documents to “Continuity Based on Convergence and Lower Complete Distributive Lattices instead of Directed Sets”
Order structures and topological structures
On lattices of continuous order-preserving functions
Jürg Schmid (1980)
Fundamenta Mathematicae
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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...