Stone duality for lattices |
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Authors: | C. Hartonas J.M. Dunn |
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Affiliation: | (1) Department of Computer Science, University of Sussex, Falmer, Brighton BN1 9QH, UK, GB;(2) Department of Philosophy, Indiana University, Bloomington, IN 47405, U.S.A., US |
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Abstract: | We present a new topological representation and Stone-type duality for general lattices. The dual objects of lattices are triples , where X, Y are the filter and ideal spaces of the lattice, endowed with a natural topology, and is a relation from X to Y. Received September 27, 1995; accepted in final form January 22, 1997. |
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