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Lattice Theory of Continuous Lattices

Gerhard Gierz, Karl Heinrich Hofmann, Klaus Keimel, Jimmie D. Lawson, Michael W. Mislove and Dana S. Scott
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Gerhard Gierz: Technische Hochschule Darmstadt, Fachbereich Mathematik
Karl Heinrich Hofmann: Tulane University, Department of Mathematics
Klaus Keimel: Technische Hochschule Darmstadt, Fachbereich Mathematik
Jimmie D. Lawson: Louisiana State University, Department of Mathematics
Michael W. Mislove: Tulane University, Department of Mathematics
Dana S. Scott: Merton College

Chapter Chapter I in A Compendium of Continuous Lattices, 1980, pp 37-96 from Springer

Abstract: Abstract Here we enter into the discussion of our principal topic. Continuous lattices, as the authors have learned in recent years, exhibit a variety of different aspects, some are lattice theoretical, some are topological, some belong to topological algebra and some to category theory—and indeed there are others. We shall contemplate these aspects one at a time, and this chapter is devoted entirely to the lattice theory surrounding our topic.

Keywords: Prime Ideal; Boolean Algebra; Closure Operator; Complete Lattice; Interpolation Property (search for similar items in EconPapers)
Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-67678-9_2

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DOI: 10.1007/978-3-642-67678-9_2

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