1 results
RELATIVELY EXCHANGEABLE STRUCTURES
-
- Journal:
- The Journal of Symbolic Logic / Volume 83 / Issue 2 / June 2018
- Published online by Cambridge University Press:
- 01 August 2018, pp. 416-442
- Print publication:
- June 2018
-
- Article
- Export citation
-
We study random relational structures that are relatively exchangeable—that is, whose distributions are invariant under the automorphisms of a reference structure
${M}$. When 
${M}$ is ultrahomogeneous and has trivial definable closure, all random structures relatively exchangeable with respect to 
$m$ satisfy a general Aldous–Hoover-type representation. If 
${M}$ also satisfies the n-disjoint amalgamation property (n-DAP) for all 
$n \ge 1$, then relatively exchangeable structures have a more precise description whereby each component depends locally on 
${M}$.
