Topology of Continuous Lattices: The Scott Topology

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 II in A Compendium of Continuous Lattices, 1980, pp 97-140 from Springer

Abstract: Abstract In Chapter I we encountered the rich lattice-theoretic structure of continuous lattices. Perhaps even more typical for these lattices is their wealth of topological structure. The aim or the present chapter is to introduce topology into the study—a program to be continued in Chapter III.

Keywords: Open Neighborhood; Complete Lattice; Full Subcategory; Continuous Lattice; Algebraic Lattice (search for similar items in EconPapers)
Date: 1980
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DOI: 10.1007/978-3-642-67678-9_3

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