Bart Jacobs: De Finetti's construction as a categorical limit

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.