Connected components of definable groups, and o-minimality II

Annalisa Conversano; Anand Pillay

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arXiv · 1106.3442

Connected components of definable groups, and o-minimality II

Annalisa Conversano·Anand Pillay

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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.

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BibTeX RIS

Annalisa Conversano, Anand Pillay. 2011-06-17. Connected components of definable groups, and o-minimality II. https://arxiv.org/abs/1106.3442

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