Configurational axioms derived from Möbius configurations

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Abstract

We prove, in a formal way, that the Möbius configuration and one of its generalizations yield an elementary characterization of Pappian projective 3-space i.e. they close exactly in projective spaces coordinatized by fields (commutative division rings).

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Correspondence to P. Petelczyc.

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Petelczyc, P., Prażmowska, M. & Prażmowski, K. Configurational axioms derived from Möbius configurations. Acta Math. Hungar. 145, 304–308 (2015). https://doi.org/10.1007/s10474-015-0490-0

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Key words and phrases

  • Möbius configuration
  • axiom
  • projective space

Mathematics Subject Classification

  • 51A20
  • 51A30