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De Finetti's construction as a categorical limit
Bart Jacobs, Sam Staton · 2020-03-04 · via math.PR updates on arXiv.org

This paper reformulates a classical result in probability theory from the 1930s in modern categorical terms: de Finetti's representation theorem is redescribed as limit statement for a chain of finite spaces in the Kleisli category of the Giry monad. This new limit is used to identify among exchangeable coalgebras the final one.

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