Introduction to almost o-minimality (Model theoretic aspects of the notion of independence and dimension)

概要

This paper is a brief survey on an almost o-minimal structure, which was proposed by the author. A locally o-minimal expansion of the set of reals has strong properties which are not possessed by other locally a-minimal structures. An almost o-minimal structure is a promising generalization of a locally o-minimal expansion of the set of reals. It is always an expansion of an o-minimal structure and admits uniform local definable cell decomposition.