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math.CT2026
On categories of monads and comonads in double categories
Vasileios Aravantinos-Sotiropoulos, Theofilos Tsantilas, Christina Vasilakopoulou
As is well known in the literature, the category Mon(V) of monoids in a monoidal category V satisfies various fundamental categorical properties, at least when the monoidal base V…
math.CT2026
Locales in presheaf toposes vs. presheaves of locales
Vasileios Aravantinos-Sotiropoulos, Panagis Karazeris, Joshua Wrigley
By a well-known characterisation, in a presheaf topos every internal suplattice is a presheaf of suplattices, but not every presheaf of suplattices is an internal suplattice (and s…