Representation of certain classes of distributive lattices by sections of sheaves.
Swamy, U.Maddana, Manikyamba, P. (1980)
International Journal of Mathematics and Mathematical Sciences
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Representation of certain classes of distributive lattices by sections of sheaves.
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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...
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