vix.ing · top · new · best · stats · spec

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

2011/09/29 by Katrin Tent, Tent, Katrin
Mathematics · #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Homotopy and Cohomology in Algebraic Topology #Logic (math.LO) #math.LO

paper · pdf · doi:10.48550/arxiv.1109.6608

openalex publication_date 2011/09/29 · arxiv created 2011/11/01 · arxiv updated 2011/11/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Related