Exponential Kleisli monoids as Eilenberg-Moore algebras

Details Exponential Kleisli monoids as Eilenberg-Moore algebras Exponential Kleisli monoids as Eilenberg-Moore algebras

2012-01-31

arxiv.org/abs/1201.6650v1

Mathematics

Category Theory

Scientific paper

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 identified as those Kleisli monoids with algebraic structure. This result generalizes the classical identification of exponentiable topological spaces as those whose lattice of open subsets forms a continuous lattice.

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