Harry Crane, Henry Towsner
Published 2016-05-15Version 1
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 \cite{Ackerman2015} and Crane and Towsner \cite{CraneTowsner2015} and hierarchical exchangeability results due to Austin and Panchenko \cite{AustinPanchenko2014}.
Combinatorics of reductions between equivalence relations
Characterization of $\ell_p$-like and $c_0$-like equivalence relations
$\mathbf{Σ_{3}^{1}}$ Generic Absoluteness, Measurability and Perfect Set Theorems for Equivalence Relations with small classes
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