Connected components of definable groups, and o-minimality II
Logic
2011-06-20 v1 Group Theory
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.
Cite
@article{arxiv.1106.3442,
title = {Connected components of definable groups, and o-minimality II},
author = {Annalisa Conversano and Anand Pillay},
journal= {arXiv preprint arXiv:1106.3442},
year = {2011}
}
Comments
22 pages