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math.CT2023★ 1 cited
Adjoint functor theorems for lax-idempotent pseudomonads
Nathanael Arkor, Ivan Di Liberti, Fosco Loregian
For each pair of lax-idempotent pseudomonads and , for which is locally fully faithful and distributes over , we establish an adjoint functor theorem, relating $R…
math.LO2023
Duality for coalgebras for Vietoris and monadicity
Marco Abbadini, Ivan Di Liberti
We prove that the opposite of the category of coalgebras for the Vietoris endofunctor on the category of compact Hausdorff spaces is monadic over Set. We deliver an analogous resul…