Submission date: 18 August 2011.

Abstract:

In this paper we generalize the theory of generic subsets of definably compact definable groups to arbitrary o-minimal structures. This theory is a crucial part of the solution to Pillay's conjecture connecting definably compact definable groups with Lie groups.

Mathematics Subject Classification: 03C64, 20E99.

Keywords and phrases: O-minimal structures, definable groups.

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