On Raney's theorems for completely distributive complete lattices
Gabriele H. Greco (1988)
Colloquium Mathematicae
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Gabriele H. Greco (1988)
Colloquium Mathematicae
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Bartenschlager, G. (1995)
Acta Mathematica Universitatis Comenianae. New Series
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Janowitz, M.F., Coté, N.H. (1976)
Portugaliae mathematica
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M. Lambrou (1983)
Fundamenta Mathematicae
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Vinayak Joshi (2009)
Mathematica Bohemica
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In this paper we obtain the forbidden configuration for 0-distributive lattices.
Zhang De-Xue (1997)
Commentationes Mathematicae Universitatis Carolinae
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The purpose of this paper is to study the topological properties of the interval topology on a completely distributive lattice. The main result is that a metrizable completely distributive lattice is an ANR if and only if it contains at most finite completely compact elements.
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...
Heleyová, Z. (1995)
Acta Mathematica Universitatis Comenianae. New Series
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