De Finetti's construction as a categorical limit
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Publication:6336106
DOI10.1007/978-3-030-57201-3_6arXiv2003.01964MaRDI QIDQ6336106
Publication date: 4 March 2020
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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