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Title: Exponential Kleisli monoids as Eilenberg-Moore algebras
Author: Hofmann, Dirk
Mynard, Frédéric
Seal, Gavin J.
Keywords: Exponentiable object
Monoidal category
Topological category
Issue Date: 2015
Publisher: Springer Verlag
Abstract: 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.
Peer review: yes
DOI: 10.1007/s10485-013-9328-5
ISSN: 0927-2852
Appears in Collections:CIDMA - Artigos
AGG - Artigos

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