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Toposes and groupoids

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References

  1. M. Artin, A. Grothendieck, J. L. Verdier, “Théorie des Topos et Cohomologie des Schémas,” SLN 269, 1972.

    Google Scholar 

  2. M. Artin, B. Mazur, “Etale Homotopy,” SLN 100, 1969.

    Google Scholar 

  3. M. Barr, R. Diaconescu, Atomic toposes, JPAA 17 (1980), 1–24.

    MathSciNet  MATH  Google Scholar 

  4. M. Barr,R. Paré, Molecular toposes, JPAA 17 (1980), 127–152.

    MathSciNet  MATH  Google Scholar 

  5. M. Fourman, Sheaf models for set theory, JPAA 19 (1980), 91–101.

    MathSciNet  MATH  Google Scholar 

  6. P. Freyd, The axiom of choice, JPAA 19 (1980), 103–125.

    MathSciNet  MATH  Google Scholar 

  7. P. Gabriel, M. Zisman, “Calculus of Fractions and Homotopy Theory,” Springer-Verlag, 1967.

    Google Scholar 

  8. A. Grothendieck, “Revêtements Étales et Groupe Fondamental,” SLN 224, 1971.

    Google Scholar 

  9. P. T. Johnstone, “Topos Theory,” Academic Press, 1977.

    Google Scholar 

  10. ____, Open maps of toposes, Manuscripta Math 31 (1980), 217–247.

    Article  MathSciNet  MATH  Google Scholar 

  11. A. Joyal, M. Tierney, An extension of the Galois theory of Grothendieck, Memoirs AMS 309 (1984).

    Google Scholar 

  12. A. Joyal, G. Wraith, K(π, n)-toposes, in Contemporary Mathematics 30 (1984).

    Google Scholar 

  13. J. Kennison, The fundamental group of a molecular topos, JPAA 46 (1987), 187–215.

    MathSciNet  MATH  Google Scholar 

  14. I. Moerdijk, Continuous fibrations and inverse limits of toposes, Comp. Math. 58 (1986), 45–72.

    MathSciNet  MATH  Google Scholar 

  15. ____, The classifying topos of a continuous groupoid, I and II, (part I is to appear in Transactions AMS).

    Google Scholar 

  16. ____, Morita equivalence of continuous groups, (to appear in Math. Proc. Cambridge Phil. Soc.).

    Google Scholar 

  17. ____, Prodiscrete groups and Galois toposes,, submitted.

    Google Scholar 

  18. J. P. Serre, “Cohomologie Galoisienne,” SLN 5, 1964.

    Google Scholar 

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Francis Borceux

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© 1988 Springer-Verlag

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Moerdijk, I. (1988). Toposes and groupoids. In: Borceux, F. (eds) Categorical Algebra and its Applications. Lecture Notes in Mathematics, vol 1348. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081366

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  • DOI: https://doi.org/10.1007/BFb0081366

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50362-0

  • Online ISBN: 978-3-540-45985-9

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