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On the model theory of open generalized polygons

Anna-Maria Ammer and Katrin Tent
Vol. 3 (2024), No. 2, 433–448
DOI: 10.2140/mt.2024.3.433
Abstract

We show that for any n ≥ 3 the theory of open generalized n-gons is complete, decidable and strictly stable, yielding a new class of examples in the zoo of stable theories.

Keywords
generalized polygons, stable structures, Hrushovski limits, combinatorial geometries
Mathematical Subject Classification
Primary: 03C45, 03C65, 05C63, 51E24
Milestones
Received: 6 March 2023
Revised: 22 September 2023
Accepted: 2 October 2023
Published: 19 July 2024
Authors
Anna-Maria Ammer
Münster
Germany
Katrin Tent
Universität Münster
Münster
Germany
© 2024 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers).