Some model theory of SL(2,R)

Jakub Gismatullin, Davide Penazzi, Anand Pillay · Fundamenta Mathematicae · 2015

We study the action of $G = {\rm SL} (2,\mathbb R)$, viewed as a group definable in the structure $M = (\mathbb R,+,\times )$, on its type space $S_{G}(M)$. We identify a minimal closed $G$-flow $I$ and an idempotent $r\in I$ (with respect to the Ellis se

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