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arxiv:2003.01964
De Finetti's construction as a categorical limit
Published on Mar 4, 2020
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Abstract
De Finetti's representation theorem is redescribed in modern categorical terms using the Kleisli category and Giry monad to identify final exchangeable coalgebras.
AI-generated summary
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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