Connected components of definable groups and o-minimality I

Details Connected components of definable groups and o-minimality I Connected components of definable groups and o-minimality I

2011-01-29

arxiv.org/abs/1101.5705v1

Mathematics

Logic

26 pages. This paper corrects the paper "Groups definable in o-minimal structures: structure theorem, G^000, definable amenabi

Scientific paper

We give examples of groups G such that G^00 is different from G^000. We also
prove that for groups G definable in an o-minimal structure, G has a "bounded
orbit" iff G is definably amenable. These results answer questions of
Gismatullin, Newelski, Petrykovski. The examples also give new non G-compact
first order theories.

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