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Preprints, Working Papers, ... Year : 2014

A model theoretic study of right-angled buildings

Abstract

We study the model theory of right-angled buildings with infinite residues. For every Coxeter graph we obtain a complete theory with a natural axiomatisation, which is ω-stable and equational. Furthermore, we provide sharp lower and upper bounds for its degree of ampleness, computed exclusively in terms of the associated Coxeter graph. This generalises and provides an alternative treatment of the free pseudospace.

Domains

Logic [math.LO]
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Dates and versions

hal-01079813 , version 1 (03-11-2014)
hal-01079813 , version 2 (10-11-2014)
hal-01079813 , version 3 (02-12-2014)
hal-01079813 , version 4 (12-08-2015)

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  • HAL Id : hal-01079813 , version 4

Cite

Andreas Baudisch, Amador Martin-Pizarro, Martin Ziegler. A model theoretic study of right-angled buildings. 2014. ⟨hal-01079813v4⟩
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