2-filteredness and the point of every Galois topos

Details 2-filteredness and the point of every Galois topos 2-filteredness and the point of every Galois topos

2007-12-28

arxiv.org/abs/0801.0010v1

Mathematics

Category Theory

5 pages, result presented at CT2007, Cavoeiro

Scientific paper

A 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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