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On the Euler characteristic of definable groups

✍ Scribed by Mário J. Edmundo

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
69 KB
Volume
57
Category
Article
ISSN
0044-3050

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✦ Synopsis

We show that in an arbitrary o-minimal structure the following are equivalent: (i) conjugates of a definable subgroup of a definably connected, definably compact definable group cover the group if the o-minimal Euler characteristic of the quotient is non zero; (ii) every infinite, definably connected, definably compact definable group has a non trivial torsion point.

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