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Algebraic theories of continuous lattices

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Continuous Lattices

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 871))

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References

  1. B. Banaschewski. Essential extensions of T0 spaces. Gen. Topology Appl. 7:233–246, 1977.

    MathSciNet  MATH  Google Scholar 

  2. Garrett Birkhoff. Lattice Theory, 3rd Ed. New York, 1967.

    Google Scholar 

  3. Alan Day. Filter monads, continuous lattices and closure systems. Canad. J. Math. 27:50–59, 1975.

    Article  MathSciNet  MATH  Google Scholar 

  4. Orrin Frink. Topology in lattices. Trans. A.M.S. 51:569–582, 1942.

    Article  MathSciNet  MATH  Google Scholar 

  5. Karl Heinrich Hofmann, Michael Mislove, Albert Stralka. The Pontryagin Duality of Compact 0 — dimensional Semilattices and its Applications. Lecture Notes in Math. 369, 1974.

    Google Scholar 

  6. Karl H. Hofmann and Albert Stralka. The algebraic theory of compact Lawson semilattices — applications of Galois connections to compact semilattices. Dissertationes Mathematicae 137, 1976. 54 pp.

    Google Scholar 

  7. K.H. Hofmann and O. Wyler. On the closedness of the set of primes in continuous lattices. SCS-Memo, 28 Dec. 1976.

    Google Scholar 

  8. H.-J. Kowalsky. Beiträge zur topologischen Algebra. Math. Nachrichten 11:143–185, 1954.

    Article  MathSciNet  MATH  Google Scholar 

  9. Jimmie D. Lawson. Vietoris Mappings and Embedding of Topological Semilattices. Phd Thesis, Univ. of Tennessee, 1967.

    Google Scholar 

  10. J.D. Lawson. Topological semilattices with small semilattices. J. London Math. Soc (2) 1:719–724, 1969.

    Article  MathSciNet  MATH  Google Scholar 

  11. F.E.J. Linton. Coequalizers in categories of algebras. In Seminar on Triples and Categorical Homology Theory, pages 75–90. Lecture Notes in Math. 80, 1969.

    Google Scholar 

  12. Saunders MacLane. Categories for the Working Mathematician. Berlin, Heidelberg, New York, 1971.

    Google Scholar 

  13. E.G. Manes. A triple miscellany: Some aspects of the theory of algebras over a triple. PhD thesis, Wesleyan University, 1967.

    Google Scholar 

  14. E.G. Manes. Algebraic Theories. New York, Heidelberg, Berlin, 1976.

    Google Scholar 

  15. Marcus M. McWaters. A note on topological semilattices. J. London Math. Soc. (2) 1:64–66, 1969.

    Article  MathSciNet  MATH  Google Scholar 

  16. Ernest Michael. Topologies on spaces of subsets. Trans. A.M.S. 71:152–182, 1951.

    Article  MathSciNet  MATH  Google Scholar 

  17. Leopoldo Nachbin. Topology and Order. Princeton, 1965.

    Google Scholar 

  18. Dana Scott. Continuous lattices. In Toposes, Algebraic Geometry and Logic, pages 93–136. Lecture Notes in Math. 274, 1972.

    Google Scholar 

  19. Leopold Vietoris. Bereiche zweiter Ordnung. Monatsh. für Math. und Physik 32:258–280, 1922.

    Article  MathSciNet  MATH  Google Scholar 

  20. Leopold Vietoris. Kontinua zweiter Ordnung. Monatsh. für Math. und Physik 32:258–280, 1922.

    Article  MathSciNet  MATH  Google Scholar 

  21. Oswald Wyler. Algebraic theories of continuous lattices. Technical Report, Carnegie-Mellon University, December, 1976.

    Google Scholar 

  22. Oswald Wyler. On continuous lattices as topological algebras. Technical Report, Carnegie-Mellon University, March, 1977.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Carnegie - Mellon University, 15213, Pittsburgh, PA, USA

    Oswald Wyler

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  1. Oswald Wyler
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Bernhard Banaschewski Rudolf-Eberhard Hoffmann

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© 1981 Springer-Verlag

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Wyler, O. (1981). Algebraic theories of continuous lattices. In: Banaschewski, B., Hoffmann, RE. (eds) Continuous Lattices. Lecture Notes in Mathematics, vol 871. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089921

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  • DOI: https://doi.org/10.1007/BFb0089921

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10848-1

  • Online ISBN: 978-3-540-38755-8

  • eBook Packages: Springer Book Archive

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