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

Abstract

We give a uniform construction of free pseudospaces of dimension n extending work by Baudisch and Pillay. This yields examples of $\omega$-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.

References in corpus (1)

• On the isometry group of the Urysohn space

Cited by in corpus (2)

• A model theoretic study of right-angled buildings
• Ample Pairs