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THE FREE PSEUDOSPACE IS N-AMPLE, BUT NOT (N + 1)-AMPLE

Published online by Cambridge University Press:  25 June 2014

KATRIN TENT
KATRIN TENT*
Affiliation:
MATHEMATISCHES INSTITUT, UNIVERSITÄT MÜNSTER, EINSTEINSTRASSE 62, D-48149 MÜNSTER, GERMANYE-mail:tent@uni-muenster.de
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Abstract

We give a uniform construction of free pseudospaces of dimension n extending work in [1]. 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.

Keywords

Stable theoryamplenessright-angled buildings
Type
Articles
Information
The Journal of Symbolic Logic , Volume 79 , Issue 2 , June 2014 , pp. 410 - 428
Copyright
Copyright © The Association for Symbolic Logic 2014 

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References

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