The free pseudospace is n-ample, but not (n+1)-ample

preprint2011arXivOpen access

Abstract

We give a uniform construction of free pseudospaces of dimension n extending work by Baudisch and Pillay. This yields examples of ωω-stable theories which are n-ample, but not (n+1)-ample. The prime models of these theories are buildings associated to certain right-angled Coxeter groups.

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