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Localisation, spectra and sheaf representation

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Applications of Sheaves

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 753))

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References

  1. Bénabou, J.: Catégories et logiques faibles. Oberwolfach Category Meeting Tagungsbericht 1973

    Google Scholar 

  2. Bergman, G.M.: Hereditary commutative rings and centres of hereditary rings. Proc. London Math. Soc. (3), 23, 214–236 (1971)

    Article  MathSciNet  MATH  Google Scholar 

  3. Brezuleanu, A., Diaconescu, R.: Sur la duale de la catégorie des treillis. Rev. Roumaine Math. Pures Appl., 14, 311–323 (1969)

    MathSciNet  MATH  Google Scholar 

  4. Cole, J.C.: The bicategory of topoi, and spectra. J. Pure Applied Algebra, to appear

    Google Scholar 

  5. Coste, M.: Localisation dans les catégories de modèles. Thèse, Université Paris-Nord, 1977

    Google Scholar 

  6. Dionne, J.: Des théories élémentaires aux catégories conceptuelles. Université de Montréal 1973

    Google Scholar 

  7. Freyd, P., Kelly, G.M.: Categories of continuous functors, I. J. Pure Applied Algebra, 2, 169–191 (1972)

    Article  MathSciNet  MATH  Google Scholar 

  8. Gabriel, P., Ulmer, F.: Lokal präsentierbare Kategorien. Lecture Notes in Mathematics, 221. Berlin and New York: Springer

    Google Scholar 

  9. Hakim, M.: Topos annelés et schémas relatifs. Ergebnisse der Math., 64. Berlin, Heidelberg, New York: Springer

    Google Scholar 

  10. Hochster, M.: Prime ideal structure in commutative rings. Trans. Amer. Math. Soc., 142, 43–60 (1969)

    Article  MathSciNet  MATH  Google Scholar 

  11. Isbell, J.R.: General functorial semantics, I. Amer. J. Math., 94, 535–596 (1972)

    Article  MathSciNet  MATH  Google Scholar 

  12. Johnstone, P.T.: Topos Theory. Academic Press 1977

    Google Scholar 

  13. Johnstone, P.T.: Rings, fields and spectra. J. Algebra, 49, 238–260 (1977)

    Article  MathSciNet  MATH  Google Scholar 

  14. Kennison, J.F.: Integral domain type representations in sheaves and other topoi. Math. Z., 151, 35–56 (1976)

    Article  MathSciNet  MATH  Google Scholar 

  15. Kennison, J.F., Ledbetter, C.S.: Sheaf representations and the Dedekind reals. This volume

    Google Scholar 

  16. Makkai, M., Reyes, G.E.: First Order Categorical Logic. Lecture Notes in Mathematics, 611. Berlin and New York: Springer

    Google Scholar 

  17. Mulvey, C.J.: A syntactic construction of the spectrum of a commutative ring. Oberwolfach Category Meeting Tagungsbericht 1975

    Google Scholar 

  18. Pierce, R.S.: Modules over commutative regular rings. Mem. Amer. Math. Soc., 70 (1967)

    Google Scholar 

  19. Raynaud, M.: Anneaux locaux henséliens. Lecture Notes in Mathematics, 169. Berlin and New York: Springer

    Google Scholar 

  20. Tierney, M.: On the spectrum of a ringed topos. In Algebra, Topology and Category Theory: a collection of papers in honor of Samuel Eilenberg. Academic Press

    Google Scholar 

  21. Volger, H.: Logical categories, semantical categories and topoi. In Model Theory and Topoi. Lecture Notes in Mathematics, 445. Berlin and New York: Springer

    Google Scholar 

  22. Volger, H.: Characterization of global section sentences and left limit sentences. To appear

    Google Scholar 

  23. Wraith, G.C.: Generic Galois theory of local rings. This volume

    Google Scholar 

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Authors and Affiliations

  1. Départment de Mathématiques, Université Paris Nord, Av. J.-B. Clément, 93430, Villetaneuse, France

    Michel Coste

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  1. Michel Coste
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Michael Fourman Christopher Mulvey Dana Scott

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© 1979 Springer-Verlag

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Coste, M. (1979). Localisation, spectra and sheaf representation. In: Fourman, M., Mulvey, C., Scott, D. (eds) Applications of Sheaves. Lecture Notes in Mathematics, vol 753. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061820

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  • DOI: https://doi.org/10.1007/BFb0061820

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  • Print ISBN: 978-3-540-09564-4

  • Online ISBN: 978-3-540-34849-8

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