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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