Hofmann, Dirk
Mynard, Frederic
Seal, Gavin J.
Exponential Kleisli Monoids as Eilenberg-Moore Algebras
Applied Categorical Structures
0927-2852
10.1007/s10485-013-9328-5
23
2
137-157
21
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.
Exponentiable object;
Monad;
Monoidal category;
Topological category;
Springer
Dordrecht
2015