21 citations · 42 across the 11 of their papers we have counts for
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math.CT2017
The factorization of the Giry monad
Kirk Sturtz
We construct a factorization of the Giry monad through the category of convex spaces, and show that, provided that no measurable cardinals exist, probability measures can be viewed…
math.CT2017
The equivalence between the categories of Giry-algebras and convex spaces
Kirk Sturtz
A duality between the category of convex spaces and measurable spaces arises from the existence of the unit interval, which is an object in both these categories. The full subcateg…