Asymptotic classes
British Logic Colloquium PhD Day 2014, University of Central Lancashire (Preston), 2nd September 2014
Abstract:
Asymptotic classes lie at the boarder between finite and infinite model theory. Put roughly, an asymptotic class is a class of finite first-order structures whose uniformly definable sets behave well. The main aim of my talk will be to get across the key idea behind this notion. I will also give a brief history of the subject and, should time permit, I will talk about the link with infinite model theory through ultraproduct constructions. I will do my best to make my explanations understandable to those with little knowledge of model theory.
Asymptotic classes lie at the boarder between finite and infinite model theory. Put roughly, an asymptotic class is a class of finite first-order structures whose uniformly definable sets behave well. The main aim of my talk will be to get across the key idea behind this notion. I will also give a brief history of the subject and, should time permit, I will talk about the link with infinite model theory through ultraproduct constructions. I will do my best to make my explanations understandable to those with little knowledge of model theory.