2-Filteredness and the point of every Galois topos
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 top...
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2010
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Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09272852_v18_n2_p115_Dubuc http://hdl.handle.net/20.500.12110/paper_09272852_v18_n2_p115_Dubuc |
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Sumario: | 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. © Springer Science + Business Media B.V. 2008. |
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