Logic Seminar
John Baldwin
UIC
Perspectives on expansions: stability/NIP
Abstract: We discuss the general question. If $A$ is a subset of $M$, does naming $A$ change the stability class?
We consider sufficient conditions provided (in various combinations) by Baizhanov, Baldwin,
Benedikt,Bouscaren, Casanovas, Poizat, Shelah, Ziegler for the answer to be NO.
And we consider specifi c conjectures for extending these results.
E.g. Conjecture: If $M$ is stable and
$I$ is a set indiscernibles in $M$, then $(M; I)$ is stable.
Baizhanov-Baldwin have proved yes if $I$ has infi nite co-dimension.
seminar begins with tea.
Tuesday February 3, 2009 at 4:00 PM in SEO 612