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- W2904730105 abstract "Let $widetilde{mathcal M}=langle mathcal M, Grangle$ be an expansion of a real closed field $mathcal M$ by a dense subgroup $G$ of $langle M^{>0}, cdotrangle$ with the Mann property. We prove that the induced structure on $G$ by $mathcal M$ eliminates imaginaries. As a consequence, every small set $X$ definable in $mathcal M$ can be definably embedded into some $G^l$, uniformly in parameters. These results are proved in a more general setting, where $widetilde{mathcal M}=langle mathcal M, Prangle$ is an expansion of an o-minimal structure $mathcal M$ by a dense set $Psubseteq M$, satisfying three tameness conditions." @default.
- W2904730105 created "2018-12-22" @default.
- W2904730105 creator A5014788972 @default.
- W2904730105 date "2018-12-19" @default.
- W2904730105 modified "2023-09-27" @default.
- W2904730105 title "Small sets in Mann pairs" @default.
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