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Topological Algebra and Lattice Theory: Applications

  • Gerhard Gierz
  • Karl Heinrich Hofmann
  • Klaus Keimel
  • Jimmie D. Lawson
  • Michael W. Mislove
  • Dana S. Scott

Abstract

Our last chapter is devoted to exploring further links between topological algebra and continuous lattices. This theme has already played an important role: the Fundamental Theorem of Compact Semilattices (VI-3.4) is just one example. In this chapter, however, the methods of topological algebra occupy a more central role, while the methods of continuous lattices are somewhat less prominent.

Keywords

Distributive Lattice Complete Lattice Continuous Lattice Topological Algebra Interval Topology 
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

  • Gerhard Gierz
    • 1
  • Karl Heinrich Hofmann
    • 2
  • Klaus Keimel
    • 1
  • Jimmie D. Lawson
    • 3
  • Michael W. Mislove
    • 2
  • Dana S. Scott
    • 4
  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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