# Topological properties of sets definable in weakly o-minimal structures

Presented by:
R Wencel [Leeds]
Date:
Thursday 19th May 2005 - 14:00 to 15:00
Venue:
INI Seminar Room 2
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.