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arXiv:1803.02275 [math.GN]AbstractReferencesReviewsResources

Toposes of connectivity spaces. Morita equivalences with topological spaces and partially ordered sets in the finite case

Stéphane Dugowson

Published 2018-03-06Version 1

This paper has two parts. First, we recall and detail the definition of the Grothendieck topos of a connectivity space, that is the topos of sheaves on such a space. In the second part, we prove that every finite connectivity space is Morita-equivalent to a finite topological space, and vice versa (we have given this proof in several, but we haven't yet shared this in writing).

Comments: in French
Categories: math.GN, math.CT
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