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The spectrum as a functor

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

Keywords

  • Prime Ideal
  • Complete Lattice
  • Full Subcategory
  • Prime Element
  • Projective Limit

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References

  1. Bratteli, O., Inductive limits of finite dimensional C*-algebras, Trans. Amer. Math. Soc. 171 (1972), 195–234.

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

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  3. Hofmann, K. H., Some remarks on the spectral theory of C*-algebras, Tagungsbericht 31-1979, Mathematisches Forschungsinstitut Oberwolfach, pp.13, 14.

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  4. —, CL-projective limits of distributive continuous lattices are distributive, Seminar on Continuity in Semilattices 54, 2-29-80.

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  5. Hofmann, K. H. and K. Keimel, Bemerkungen zum "Neuen Lemma", Seminar on Continuity in Semilattices 52, 11-6-1979.

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  6. Hofmann, K. H. and J. D. Lawson, The spectral theory of distributive continuous lattices, Trans. Amer. Math. Soc. 246 (1978), 285–310.

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  7. Hofmann, K. H. and J. Thayer, Almost finite dimensional C*-algebras, Dissertationes Math. 1980, to appear.

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  8. Hofmann, K. H. and F. Watkins, A new lemma on primes and a topological characterization of the category DCL of continuous Heyting algebras and CL-morphisms, Seminar on Continuity in Semilattices 51, 30-5-1979.

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  9. Isbell, J., Direct limits of meet continuous lattices, Preprint 1980.

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© 1981 Springer-Verlag

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Hofmann, K.H., Watkins, F. (1981). The spectrum as a functor. In: Banaschewski, B., Hoffmann, RE. (eds) Continuous Lattices. Lecture Notes in Mathematics, vol 871. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089909

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  • DOI: https://doi.org/10.1007/BFb0089909

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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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