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Preprint Number 337

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337. Annalisa Conversano and Anand Pillay
Connected components of definable groups, and o-minimality II
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Submission date: 17 June 2011.

Abstract:

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

Keywords and phrases:

Full text arXiv 1106.3442: pdf, ps.


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