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

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

2011-09-29

arxiv.org/abs/1109.6608v4

Mathematics

Logic

Scientific paper

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.

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