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Local compactness and 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. Batbedat, A., Des schemas en demi-groupes commutatives, Semigroup Forum 16 (1978), 473–481.

    Article  MathSciNet  MATH  Google Scholar 

  2. Gierz, G., K. H. Hofmann, K. Keimel, J. Lawson, M. Mislove, and D. Scott, A Compendium of Continuous Lattices, Springer-Verlag, New York, 1980, 348pp.

    Book  MATH  Google Scholar 

  3. Hoffmann, R.-E., Topological functors admitting general Cauchy-completions, Lecture Notes in Math. 540 (1976), 286–344.

    Article  Google Scholar 

  4. _____, Projective sober spaces, preprint, 1979.

    Google Scholar 

  5. _____, Sobrification of partially ordered sets, Semigroup Forum 17 (1979), 123–138.

    Article  MathSciNet  MATH  Google Scholar 

  6. _____, Topological spaces admitting a dual, Lecture Notes in Mathematics 709 (1979), 157–166.

    Article  MathSciNet  MATH  Google Scholar 

  7. _____, Prime spectra of completely distributive complete lattices and Hausdorff compactifications, Universität Bremen, preprint, 1979.

    Google Scholar 

  8. Hofmann, K. H., A note on Baire spaces and continuous lattices, Bull. Aust. Math. Soc. 21 (1980), 265–279.

    Article  MathSciNet  MATH  Google Scholar 

  9. Hofmann, K. H., and J. Lawson, Irreducibility and generation in continuous lattices, Semigroup Forum 13 (1976/1977), 307–353.

    Article  MathSciNet  MATH  Google Scholar 

  10. _____, The spectral theory of distributive continuous lattices, Trans. Amer. Math. Soc. 246 (1978), 285–310.

    Article  MathSciNet  MATH  Google Scholar 

  11. Isbell, J., Function spaces and adjoints, Math. Scand. 36 (1975), 317–339.

    MathSciNet  MATH  Google Scholar 

  12. Lawson, J. D., The duality of continuous posets, Houston Journal of Math., to appear.

    Google Scholar 

  13. Markowsky, G., Chain complete posets and directed sets with applications, Alg. Universalis 6 (1976), 53–68.

    Article  MathSciNet  MATH  Google Scholar 

  14. Scott, D., Continuous lattices, Lecture Notes in Mathematics 274 (1972), 94–108.

    MathSciNet  Google Scholar 

  15. Stone, M. H., The theory of representations of Boolean algebras, Trans. Amer. Math. Soc. 40 (1936), 37–111.

    MathSciNet  MATH  Google Scholar 

  16. _____, Topological representation of distributive lattices and Brouwerian logics, Cas. Mat. Fys. 67 (1937), 1–25.

    MATH  Google Scholar 

  17. Ward, A. J., Problem in "Topology and its Applications", (Proc. Herceg Novi 1968), Belgrade, 1969, 352.

    Google Scholar 

Memos from the SCS Series

  1. SCS 47 (28 May 1978) Hofmann, K. H., Equivalence des espaces de Batbedat et des treillis algébriques.

    Google Scholar 

  2. SCS 47 (30 Nov. 1978) Hofmann, K. H. and F. Watkins, A review of a theorem of Dixmier's.

    Google Scholar 

  3. SCS 54 (11 Nov. 1979) Hofmann, K. H., Completely distributive algebraic lattices.

    Google Scholar 

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Bernhard Banaschewski Rudolf-Eberhard Hoffmann

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© 1981 Springer-Verlag

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Hofmann, K.H., Mislove, M.W. (1981). Local compactness and continuous lattices. In: Banaschewski, B., Hoffmann, RE. (eds) Continuous Lattices. Lecture Notes in Mathematics, vol 871. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089908

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  • DOI: https://doi.org/10.1007/BFb0089908

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  • Print ISBN: 978-3-540-10848-1

  • Online ISBN: 978-3-540-38755-8

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