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math.CT2021
The category of -finite spaces
Mathieu Anel
We show that the category of truncated spaces with finite homotopy invariants (\=/finite spaces) has many of the features expected of an elementary \oo topos. It should be thoug…
math.CT2021★ 8 cited
Left-exact Localizations of -Topoi I: Higher Sheaves
Mathieu Anel, Georg Biedermann, Eric Finster +1
We are developing tools for working with arbitrary left-exact localizations of -topoi. We introduce a notion of higher sheaf with respect to an arbitrary set of maps in…