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arxiv: 0801.0010 · v1 · submitted 2007-12-28 · 🧮 math.CT · math.AG

2-filteredness and the point of every Galois topos

classification 🧮 math.CT math.AG
keywords toposgaloisconnectedeveryfilteredlocallyobjectspoint
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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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