Relative exchangeability with equivalence relations
Abstract
We describe an Aldous--Hoover-type characterization of random relational structures that are exchangeable relative to a fixed structure which may have various equivalence relations. Our main theorem gives the common generalization of the results on relative exchangeability due to Ackerman Ackerman2015 and Crane and Towsner CraneTowsner2015 and hierarchical exchangeability results due to Austin and Panchenko AustinPanchenko2014.
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