Continuous fibrations and inverse limits of toposes

Ieke Moerdijk

Compositio Mathematica (1986)

  • Volume: 58, Issue: 1, page 45-72
  • ISSN: 0010-437X

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Moerdijk, Ieke. "Continuous fibrations and inverse limits of toposes." Compositio Mathematica 58.1 (1986): 45-72. <http://eudml.org/doc/89765>.

@article{Moerdijk1986,
author = {Moerdijk, Ieke},
journal = {Compositio Mathematica},
keywords = {Grothendieck toposes; geometric morphisms; sites; continuous fibrations; inverse system; descent},
language = {eng},
number = {1},
pages = {45-72},
publisher = {Martinus Nijhoff Publishers},
title = {Continuous fibrations and inverse limits of toposes},
url = {http://eudml.org/doc/89765},
volume = {58},
year = {1986},
}

TY - JOUR
AU - Moerdijk, Ieke
TI - Continuous fibrations and inverse limits of toposes
JO - Compositio Mathematica
PY - 1986
PB - Martinus Nijhoff Publishers
VL - 58
IS - 1
SP - 45
EP - 72
LA - eng
KW - Grothendieck toposes; geometric morphisms; sites; continuous fibrations; inverse system; descent
UR - http://eudml.org/doc/89765
ER -

References

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  1. [1] M. Barr and R. Diaconescu: Atomic toposes. J. Pure and Applied Algebra17 (1980) 1-24. Zbl0429.18006MR560782
  2. [2] M. Barr and R. Paré: Molecular toposes. J. Pure and Applied Algebra17 (1980) 27-152. Zbl0436.18002MR567064
  3. [3] R. Diaconescu: Grothendieck toposes have boolean points: a new proof. Comm. in Algebra4 (1976) 723-729. Zbl0358.18011MR414658
  4. [4] P. Freyd: All topoi are localic, or Why permutation models prevail, unpublished typescript (1979). 
  5. [5] A. Grothendieck and J.L. Verdier: Théorie des topos et cohomologie étale des Schémas, SGA 4(2), Exposé VI. Springer Lecture notes270 (1972). Zbl0237.00012MR463174
  6. [6] G.F. Van Der Hoeven and I. Moerdijk: On choice sequences determined by spreads. J. of Symbolic Logic49 (1984) 908-916. Zbl0587.03044MR758942
  7. [7] A. Joyal and M. Tierney: An extension of the Galois theory of Grothendieck. Memoir Amer. Math. Soc.309 (1984). Zbl0541.18002MR756176
  8. [8] P.T. Johnstone: Open maps of toposes. Manuscripta Math.31 (1980) 217-247. Zbl0433.18002MR576498
  9. [9] P.T. Johnstone: Factorisation theorems for geometric morphisms, I. Cah. top. et géom. diff.22 (1981) 3-17. Zbl0454.18007MR609154
  10. [10] I. Moerdijk and G.E. Reyes: Smooth spaces versus continuous spaces in models for SDG. J. Pure and Applied Algebra32 (1984) 143-176. Zbl0535.18003MR741963

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