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Interpretable groups are definable.
- Source :
- Journal of Mathematical Logic; Jun2014, Vol. 14 Issue 1, p-1, 47p
- Publication Year :
- 2014
-
Abstract
- We prove that in an arbitrary o-minimal structure, every interpretable group is definably isomorphic to a definable one. We also prove that every definable group lives in a cartesian product of one-dimensional definable group-intervals (or one-dimensional definable groups). We discuss the general open question of elimination of imaginaries in an o-minimal structure. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02190613
- Volume :
- 14
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Mathematical Logic
- Publication Type :
- Academic Journal
- Accession number :
- 96774345
- Full Text :
- https://doi.org/10.1142/S0219061314500020