Interpretable groups are definable

Publikationstyp: Zeitschriftenartikel
Autor/innen: Eleftheriou, Pantelis E.; Peterzil, Ya'acov; Ramakrishnan, Janak
Erscheinungsjahr: 2014
Erschienen in: Journal of Mathematical Logic ; 14 (2014), 1. - 1450002. - ISSN 0219-0613
DOI (zitierfähiger Link): https://dx.doi.org/10.1142/S0219061314500020
Zusammenfassung:
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.
Fachgebiet (DDC): 510 Mathematik
Schlagwörter: o-minimality, interpretable groups, definable groups, elimination of imaginaries
Universitätsbibliographie: Ja

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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

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