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

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

2010-12-21

arxiv.org/abs/1012.4640v2

Mathematics

Logic

22 pages The paper has been withdrawn because of a mistake in section 2. A correct version will be prepared and posted soon

Scientific paper

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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