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arXiv · 1012.4640

Groups definable in o-minimal structures: structure theorem, G^000, definable amenability and bounded orbits

Anand Pillay
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Abstract

We settle some open problems in the special case of groups in o-minimal structures, such as the equality of G^00 and G^000 and the equivalence of definable amenability and existence of a type with bounded orbit. We prove almost exactness of the G to G^00 functor. We ask further questions about types with bounded orbits in NIP theories.

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Anand Pillay. 2011-01-10. Groups definable in o-minimal structures: structure theorem, G^000, definable amenability and bounded orbits. https://arxiv.org/abs/1012.4640

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