Merging two smooth structure classes can preserve the original generic limits, and with a parallel strongness condition every infinite existentially definable subset of the merge's first reduct is again the first generic; 1-local classes yield new EPPA and Ramsey examples.
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Merges of Smooth Classes and Their Properties
Merging two smooth structure classes can preserve the original generic limits, and with a parallel strongness condition every infinite existentially definable subset of the merge's first reduct is again the first generic; 1-local classes yield new EPPA and Ramsey examples.