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Q: Why Kleisi Markov Categories and not the Eilenberg-Moore Categories of the associated Monads

Q.FaustusWhy is there so much interest in the Markov categories which are Kleisli categories for monads corresponding to distributions etc. but not much discussion of the E.M. categories? For example, the E.M. category of algebras for the finitely supported distribution monad - the so called finitary Giry...

The title says "Kleisi" and the body "Kleisli" - I guess it is supposed to be Kleisli, right? — Martin Sleziak 15 secs ago
 

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