Logic Seminar
Daniel Palacín
University of Münster
Superstable expansions of $(\mathbb{Z},+)$
Abstract: Given a first-order structure it is natural to ask whether some of its model-theoretic properties are preserved after enriching the structure with additional predicates.
In this talk, after giving some basic definitions on stability theory, I shall discuss whether the additive group of integers, which is a stable structure and whose first-order theory
is well-understood, admits a stable expansion. More precisely, I will present some superstable expansions of infinite rank, and argue why there is no expansion of finite rank.
This is a joint work with Rizos Sklinos.
Tuesday September 15, 2015 at 4:00 PM in SEO 427