Beibut Kulpeshov : Minimality conditions on circularly ordered structures

Posted by Matthias Aschenbrenner , part of the Logic Seminar.

At

Nov. 1, 2005, 4 p.m.

In

SEO 427

Abstract

We explore analogues of o-minimality and weak o-minimality for circularly ordered sets. Much of the theory goes through almost unchanged, since over a parameter the circular order yields a definable linear order. Working over $\emptyset$ there are differences. Our main result is a structure theory for $\aleph_0 $-categorical weakly circularly minimal structures. This is joint work with Dugald Macpherson.