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Preprint Number 362

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362. Katrin Tent
The free pseudospace is n-ample, but not (n+1)-ample

Submission date: 30 September 2011.


We give a uniform construction of free pseudospaces of dimension n extending work by Baudisch and Pillay. This yields examples of ω-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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Full text arXiv 1109.6608: pdf, ps.

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