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math.PR2023
de Finetti's theorem and the existence of regular conditional distributions and strong laws on exchangeable algebras
Peter Potaptchik, Daniel M. Roy, David Schrittesser
We show the following generalizations of the de Finetti--Hewitt--Savage theorem: Given an exchangeable sequence of random elements, the sequence is conditionally i.i.d. if and only…
math.LO2023
Cofinitary groups and projective well-orders
Vera Fischer, Lukas Schembecker, David Schrittesser
We introduce the notion of a tight cofinitary group, which captures forcing indestructibility of maximal cofinitary groups for a long list of partial orders, including Cohen, Sacks…