Logic Seminar
David Marker
UIC
Uncountable models of counterexamples to Vaught's Conjecture
Abstract: I will begin by surveying some of the known results on uncountable models of counterexamples to Vaught's Conjecture for $L_{\omega_1,\omega}$-sentences and
then give a sketch of an unpublished result of Leo Harrington showing that counterexamples have models of unbounded Scott rank below $\omega_2$.
In particular this shows that a counterexample has at least $\aleph_2$ models of size $\aleph_1$.
Thursday June 30, 2011 at 9:30 AM in SEO 612