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  1.  23
    On the (non) superstable part of the free group.Chloé Perin & Rizos Sklinos - 2016 - Mathematical Logic Quarterly 62 (1-2):88-93.
    In this short note we prove that a definable set X over is superstable only if.
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  2.  24
    Some lower bounds on Shelah rank in the free group.Javier de la Nuez González, Chloé Perin & Rizos Sklinos - 2020 - Annals of Pure and Applied Logic 171 (6):102794.
    We give some lower bounds on the Shelah rank of varieties in the free group whose coordinate groups are hyperbolic towers.
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  3.  38
    Hyperbolic Towers and Independent Generic Sets in the Theory of Free Groups.Larsen Louder, Chloé Perin & Rizos Sklinos - 2013 - Notre Dame Journal of Formal Logic 54 (3-4):521-539.
    We use hyperbolic towers to answer some model-theoretic questions around the generic type in the theory of free groups. We show that all the finitely generated models of this theory realize the generic type $p_{0}$ but that there is a finitely generated model which omits $p^{}_{0}$. We exhibit a finitely generated model in which there are two maximal independent sets of realizations of the generic type which have different cardinalities. We also show that a free product of homogeneous groups is (...)
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  4. Hyperbolic towers and independent generic sets in the theory of free groups, to appear in the Proceedings of the conference" Recent developments in Model Theory.Lars Louder, Chloé Perin & Rizos Sklinos - forthcoming - Notre Dame Journal of Formal Logic.