68 citations · 82 across the 31 of their papers we have counts for
34 papers
Ealy's conjecture in odd characteristic
Tao Feng, Koen Thas
We solve Ealy's conjecture from 1977 by showing that for each odd prime , a finite generalized quadrangle each point of which admits a central symmetry of order , is either a…
Towards the horizons of Tits's vision -- on band schemes, crowds and F1-structures
Oliver Lorscheid, Koen Thas
This text is dedicated to Jacques Tits's ideas on geometry over F1, the field with one element. In a first part, we explain how thin Tits geometries surface as rational point sets…
Epimorphisms of generalized polygons B: The octagons
Joseph A. Thas, Koen Thas
This is the second part of our study of epimorphisms with source a thick generalized -gon and target a thin generalized -gon. We classify the case when the polygons a…
Quantum theory without the Axiom of choice, and Lefschetz Quantum Physics
Koen Thas
In this conceptual paper, we discuss quantum formalisms which do not use the famous Axiom of Choice. We also consider the fundamental problem which addresses the (in)correctness of…
Synthetic projective lines, geometric closure and AB-sets
Koen Thas
In this note, we introduce a new approach to abstract ``synthetic'' projective lines. We discuss various aspects of our approach, and compare these aspects with the classical one.…
Epimorphisms of generalized polygons A: The planes, quadrangles and hexagons
Joseph A. Thas, Koen Thas
Inspired by a theorem by Skornjakov-Hughes-Pasini [9, 7, 8] and a problem which turned up in our recent paper [13], we start a study of epimorphisms with source a thick generalized…