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The algebras of the Giry monad
The algebras of the Giry monad on the category of measurable spaces are derived. These algebras, which we denote as $\mathbf{Cvx}_{Meas}$, are measurable convex spaces satisfying three properties: (1) all the affine sum operations are measurable functions, (2) $X$ is coseparated by affine measurable
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