John Baldwin : Perspectives on expansions: stability/NIP

Posted by , part of the Logic Seminar.

At

Feb. 3, 2009, 4 p.m.

In

SEO 612

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.

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