If the Kleisli-category of a monad is Cartesian-closed, can we say when the category of Eilenberg-Moore algebras is?
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1$\begingroup$ David, could you provide your motivations for this question? Personally, I find it easier to rummage up examples where the Eilenberg-Moore category of algebras (over a cartesian closed category) is cartesian closed, than I do for where the Kleisli category is cartesian closed. If you could provide examples of what you have in mind, that could be helpful. $\endgroup$– Todd Trimble ♦Aug 27, 2010 at 19:18
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$\begingroup$ If you're still interested in this, you might also be interested in this paper by Fiore and Menni: tac.mta.ca/tac/volumes/15/2/15-02abs.html $\endgroup$– Tom LeinsterDec 2, 2011 at 18:01
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