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Continuous ideal completions and compactifications

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

Keywords

  • Complete Lattice
  • Interpolation Property
  • Heyting Algebra
  • Continuous Lattice
  • Kernel Operator

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References

  1. 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).

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  2. Banaschewski, B. and C.J. Mulvey: Stone-Čech compactification of Locales. I. Houston J. Math. (to appear)

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  3. Freudenthal, H.: Neuaufbau der Endentheorie, Ann. Math. 43 (1942), 261–279.

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  4. 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).

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  5. Isbell, J.: A structure space for certain lattice-ordered groups and rings, J. London Math. Soc. 40 (1965), 63–71.

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  6. Naimpally, S.A. and B.D. Warrack: Proximity Spaces, Cambridge Tracts in Math. and Math. Phyiscs 59, Cambridge University Press 1970

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© 1981 Springer-Verlag

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Gierz, G., Keimel, K. (1981). Continuous ideal completions and compactifications. In: Banaschewski, B., Hoffmann, RE. (eds) Continuous Lattices. Lecture Notes in Mathematics, vol 871. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089905

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  • DOI: https://doi.org/10.1007/BFb0089905

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10848-1

  • Online ISBN: 978-3-540-38755-8

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