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On compactifications and the topological dynamics of definable groups

โœ Scribed by Gismatullin, Jakub; Penazzi, Davide; Pillay, Anand


Book ID
122679937
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
281 KB
Volume
165
Category
Article
ISSN
0168-0072

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โœ Mรกrio J. Edmundo ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 69 KB

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 connecte