Mathematics – Category Theory
Scientific paper
2012-01-31
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.
Hofmann Dirk
Mynard Frédéric
Seal Gavin J.
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