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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.

University of Cambridge Research Councils UK
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