English

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

Logic 2011-11-02 v4

Abstract

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

Keywords

Cite

@article{arxiv.1109.6608,
  title  = {The free pseudospace is n-ample, but not (n+1)-ample},
  author = {Katrin Tent},
  journal= {arXiv preprint arXiv:1109.6608},
  year   = {2011}
}
R2 v1 2026-06-21T19:12:45.318Z