Connected components of definable groups, and o-minimality II

Details Connected components of definable groups, and o-minimality II Connected components of definable groups, and o-minimality II

2011-06-17

arxiv.org/abs/1106.3442v1

Mathematics

Logic

22 pages

Scientific paper

We study the connected components G^00, G^000 and their quotients for a group
G definable in a saturated o-minimal expansion of a real closed field. We show
that G^00/G^000 is naturally the quotient of a connected compact commutative
Lie group by a dense finitely generated subgroup. We also highlight the role of
universal covers of semisimple Lie groups.

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