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Stone Duality for Monads

Garner, Richard et al.
arXiv (All) · Papers
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category-theorylogic-in-computer-scienceprogramming-languages
We introduce a contravariant idempotent adjunction between (i) the category of ranked monads on $\mathsf{Set}$; and (ii) the category of internal categories and internal retrofunctors in the category of locales. The left adjoint takes a monad $T$-viewed as a notion of computation, following Moggi-to
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