Configurational axioms derived from Möbius configurations

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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Bibliographic Details
Published in:Acta mathematica Hungarica 2015-04, Vol.145 (2), p.304-308
Main Authors: Petelczyc, P., Prażmowska, M., Prażmowski, K.
Format: Article
Language:English
Subjects:
Axioms
Configurations
Mathematics
Mathematics and Statistics
Rings (mathematics)
Citations: Items that this one cites
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Description
Summary: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).
ISSN:0236-5294
1588-2632
DOI:10.1007/s10474-015-0490-0