On the (non) superstable part of the free group

arxiv: 1411.6253 · v1 · pith:IKPT7JL3new · submitted 2014-11-23 · 🧮 math.LO

Chlo\'e Perin , Rizos Sklinos This is my paper

classification 🧮 math.LO

keywords mathbbsuperstabledefinablefreegroupnoteomegaonly

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In this short note we prove that a definable set $X$ over $\mathbb F_n$ is superstable only if $X(\mathbb F_n)=X(\mathbb F_{\omega})$.

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