Special Colloquium/Logic Seminar


Speaker: Rumen Dimitrov, Western Illinois University


Title: The age of cohesive powers

Abstract: Fraïssé defined the age of a structure A to be the class of all structures isomorphic to the finitely generated substructures of A. He then used this term to refer to one structure as being younger than another. In this talk, I will consider the age of the rationals Q as a dense linear ordering without endpoints and as a field, and will discuss connections with the earlier notion of the cohesive powers of Q. I will also establish different model-theoretic properties of cohesive powers.