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math.CT2012
The enriched Vietoris monad on representable spaces
Dirk Hofmann
Employing a formal analogy between ordered sets and topological spaces, over the past years we have investigated a notion of cocompleteness for topological, approach and other kind…
math.CT2012
Exponential Kleisli monoids as Eilenberg-Moore algebras
Dirk Hofmann, Frédéric Mynard, Gavin J. Seal
Lax monoidal powerset-enriched monads yield a monoidal structure on the category of monoids in the Kleisli category of a monad. Exponentiable objects in this category are identifie…