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Jun 25, 2013 at 3:02 review Late answers
Jun 25, 2013 at 10:29
Dec 12, 2012 at 11:45 comment added Dima Sustretov Dear Tim, I do not get it how some kind of definability in families might be helpful. Let our definable set contain infinitely many mutually disjoint definable sets of rank $\alpha$. They might be defined all by different formulas $\psi_i(x, b_i)$. We need to prove that there exist infinitely many such formulas with parameters in a given model, probably by changing the parameters $b_i$. The trouble is not so much to control the rank but to ensure that no intersections occur when we change the parameters.
Dec 11, 2012 at 14:55 history answered tim CC BY-SA 3.0