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Preprint Number 337
337. Annalisa Conversano and Anand Pillay
Connected components of definable groups, and o-minimality II
Submission date: 17 June 2011.
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.
Mathematics Subject Classification: 0364, 22F99
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