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Connected components of definable groups, and o-minimality II
Published 17 Jun 2011 in math.LO and math.GR | (1106.3442v1)
Abstract: We study the connected components G00, G000 and their quotients for a group G definable in a saturated o-minimal expansion of a real closed field. We show that G00/G000 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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