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Continuous ideal completions and compactifications

  • Gerhard Gierz
  • Klaus Keimel
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 871)

Keywords

Complete Lattice Interpolation Property Heyting Algebra Continuous Lattice Kernel Operator 
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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References

  1. [Ba]
    Banaschewski, B.: Frames and compactifications, Proc. I. Intern. Symp. Extension Theory of Topological Structures and its Applications, Berlin 1967, 29–33, Deutscher Verlag der Wiss. Berlin (1969).Google Scholar
  2. [BM]
    Banaschewski, B. and C.J. Mulvey: Stone-Čech compactification of Locales. I. Houston J. Math. (to appear)Google Scholar
  3. [Fr]
    Freudenthal, H.: Neuaufbau der Endentheorie, Ann. Math. 43 (1942), 261–279.MathSciNetCrossRefzbMATHGoogle Scholar
  4. [Comp]
    Gierz, G., K.H. Hofmann, K. Keimel, J.D. Lawson, M. Mislove and D.S. Scott: A Compendium of Continuous Lattices, Springer Verlag (to appear 1980).Google Scholar
  5. [Is]
    Isbell, J.: A structure space for certain lattice-ordered groups and rings, J. London Math. Soc. 40 (1965), 63–71.MathSciNetCrossRefzbMATHGoogle Scholar
  6. [NW]
    Naimpally, S.A. and B.D. Warrack: Proximity Spaces, Cambridge Tracts in Math. and Math. Phyiscs 59, Cambridge University Press 1970Google Scholar
  7. [Ra]
    Raney, G.N.: A subdirect union representation for completely distributive lattices, Proc. Amer. Math. Soc. 4 (1953), 518–522.MathSciNetCrossRefzbMATHGoogle Scholar
  8. [Sm]
    Smyth, M.B.: Power domains, J.Comp. Sci. and Systems Theory 16 (1978), 23–36.MathSciNetCrossRefzbMATHGoogle Scholar
  9. [Wa]
    Ward, A.J.: Representations of proximity lattices. Ann. Univ. Sci. Bud. R. Eötvös, Sec. Math., 17 (1974), 41–57.MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • Gerhard Gierz
    • 1
  • Klaus Keimel
    • 1
  1. 1.Fachbereich MathematikTechnische HochschuleDarmstadt

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