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math.CO2023★ 2 cited
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…
math.CO2023
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…
quant-ph2023
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…