Bart Jacobs: De Finetti's construction as a categorical limit
Автор: Paolo Perrone
Загружено: 2020-06-08
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Talk at the Categorical Probability and Statistics workshop 2020:
http://perimeterinstitute.ca/personal...
Title: De Finetti's construction as a categorical limit
Speaker: Bart Jacobs
Chair: Arthur Parzygnat
Date: June 8th, 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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