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math.CT2026
Combinatorial manifolds and Kleene's theorem, homotopically
Yorgo Chamoun
We give a general method to build categories of combinatorial manifolds, i.e. categories of combinatorial objects satisfying some local property at every "point", as coreflective s…
math.CT2025
Realization of relational presheaves
Yorgo Chamoun, Samuel Mimram
Relational presheaves generalize traditional presheaves by going to the category of sets and relations (as opposed to sets and functions) and by allowing functors which are lax. Th…
math.CT2025
De Morgan's law in toposes I
Olivia Caramello, Yorgo Chamoun
We study toposes satisfying De Morgan's law, in particular we give characterizations of geometric theories whose classifying topos is De Morgan, clarifying the link with the amalga…