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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.
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https://hal.archives-ouvertes.fr/hal-01079813
Contributor : Amador Martin-Pizarro Connect in order to contact the contributor
Submitted on : Wednesday, August 12, 2015 - 6:42:18 PM
Last modification on : Monday, June 28, 2021 - 2:26:06 PM
Long-term archiving on: : Friday, November 13, 2015 - 11:41:32 AM

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  • HAL Id : hal-01079813, version 4

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Andreas Baudisch, Amador Martin-Pizarro, Martin Ziegler. A MODEL THEORETIC STUDY OF RIGHT-ANGLED BUILDINGS. 2014. ⟨hal-01079813v4⟩

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