2-Filteredness and The Point of Every Galois Topos

@article{Dubuc20102FilterednessAT,
  title={2-Filteredness and The Point of Every Galois Topos},
  author={Eduardo J. Dubuc},
  journal={Applied Categorical Structures},
  year={2010},
  volume={18},
  pages={115-121}
}
  • E. Dubuc
  • Published 28 December 2007
  • Mathematics, Philosophy
  • Applied Categorical Structures
A connected locally connected topos is a Galois topos if the Galois objects generate the topos. We show that the full subcategory of Galois objects in any connected locally connected topos is an inversely 2-filtered 2-category, and as an application of the construction of 2-filtered bi-limits of topoi, we show that every Galois topos has a point. 
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References

SHOWING 1-7 OF 7 REFERENCES
Full continuous embeddings of toposes
Some years ago, G. Reyes and the author described a theory relating first order logic and (Grothendieck) toposes. This theory, together with standard results and methods of model theory, is applied
A construction of 2-filtered bicolimits of categories
Nous definissons la notion de 2-categorie 2-filtrante et donnons une construction explicite de la bicolimite d'un 2-foncteur a valeurs dans les categories. Une categorie consideree comme etant une
Lecture Notes in Mathematics
Vol. 72: The Syntax and Semantics of lnfimtary Languages. Edited by J. Barwtse. IV, 268 pages. 1968. DM 18,I $ 5.00 Vol. 73: P. E. Conner, Lectures on the Action of a Finite Group. IV, 123 pages.
Prodiscrete groups and Galois toposes
A construction of 2-filtered bi-limits of Topoi
  • A construction of 2-filtered bi-limits of Topoi
Prodiscrete groups and Galois toposes Proc
  • Kon. Nederl. Akad. van Wetens. Series A
  • 1989