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arXiv · 2003.01964

De Finetti's construction as a categorical limit

Bart Jacobs·Sam Staton
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Abstract

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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Bart Jacobs, Sam Staton. 2020-03-04. De Finetti's construction as a categorical limit. https://arxiv.org/abs/2003.01964

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