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Scott convergence and Scott topology in partially ordered sets I

  • Sibylle Weck
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 871)

Keywords

Complete Lattice Order Convergence Continuous Lattice Galois Connection Converse Inclusion 
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. [E 1]
    Erné,M., A completion-invariant extension of the concept of continuous lattices. These proceedings.Google Scholar
  2. [E 2]
    —, Scott convergence and Scott topology in partially ordered sets II. These proceedings.Google Scholar
  3. [E 3]
    —, Topologies on products of partially ordered sets II: ideal topologies. Algebra Universalis (to appear).Google Scholar
  4. [EW]
    Erné,M. and Weck,S., Order convergence in lattices. Rocky Mountain J. Math. (to appear).Google Scholar
  5. [F]
    Frink, O., Ideals in partially ordered sets. Amer. Math. Monthly 61 (1954), 223–234.MathSciNetCrossRefzbMATHGoogle Scholar
  6. [K 1]
    Kent, D.C., Convergence functions and their related topologies. Fundamenta Mathematicae 54 (1964), 125–133.MathSciNetzbMATHGoogle Scholar
  7. [K 2]
    —, On the order topology in a lattice. Illinois J. Math. 10 (1966), 90–96.MathSciNetzbMATHGoogle Scholar
  8. [SCS]
    Gierz,G., Lawson,J.D., Hofmann,K.H., Mislove,M., Keimel,K., and Scott,D.S., A compendium of continuous lattices. Springer-Verlag, Berlin-Heidelberg-New York (to appear).Google Scholar

Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • Sibylle Weck
    • 1
  1. 1.Institut für MathematikUniversität HannoverHannoverFed. Rep. of Germany

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