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Lattice Theory of Continuous Lattices

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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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1980

Authors and Affiliations

  1. 1.Fachbereich MathematikTechnische Hochschule DarmstadtDarmstadtGermany
  2. 2.Department of MathematicsTulane UniversityNew OrleansUSA
  3. 3.Department of MathematicsLouisiana State UniversityBaton RougeUSA
  4. 4.Merton CollegeOxfordGreat Britain

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