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An Isaac Newton Institute Programme

Model Theory and Applications to Algebra and Analysis

Topological properties of sets definable in weakly o-minimal structures

19th May 2005

Author: Wencel, R (University of Leeds)

Abstract

A first order structure M equipped with a dense linear ordering is called weakly o-minimal iff all definable subsets of M are finite unions of convex sets. In the first part of the talk we will discuss some properties of the topological dimension of sets definable in weakly o-minimal structures. This will constitute a basis for the second part which will be focused on the problem of topologisation of groups, group actions and fields definable in weakly o-minimal structures.