Interpretable groups are definable
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| Type of Publication: | Journal article |
| Author: | Eleftheriou, Pantelis E.; Peterzil, Ya'acov; Ramakrishnan, Janak |
| Year of publication: | 2014 |
| Published in: | Journal of Mathematical Logic ; 14 (2014), 1. - 1450002. - ISSN 0219-0613 |
| DOI (citable link): | https://dx.doi.org/10.1142/S0219061314500020 |
| Summary: |
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.
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| Subject (DDC): | 510 Mathematics |
| Keywords: | o-minimality, interpretable groups, definable groups, elimination of imaginaries |
| Bibliography of Konstanz: | Yes |
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ELEFTHERIOU, Pantelis E., Ya'acov PETERZIL, Janak RAMAKRISHNAN, 2014. Interpretable groups are definable. In: Journal of Mathematical Logic. 14(1), 1450002. ISSN 0219-0613. Available under: doi: 10.1142/S0219061314500020
@article{Eleftheriou2014Inter-31026, title={Interpretable groups are definable}, year={2014}, doi={10.1142/S0219061314500020}, number={1}, volume={14}, issn={0219-0613}, journal={Journal of Mathematical Logic}, author={Eleftheriou, Pantelis E. and Peterzil, Ya'acov and Ramakrishnan, Janak}, note={Article Number: 1450002} }
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