A remark about absolute planes
type: Item
instance of: scholarly article
title: A remark about absolute planes
zbMATH Open document ID: 0926.51013
DOI: 10.1007/BF01229221
author: Kay Soerensen
published in: Journal of Geometry
publication date: 1999-11-29T00:00:00Z
review text: The author presents a slight modification of the axioms for absolute planes as given in [\textit{H. Karzel}, \textit{K. Sörensen}, and \textit{D. Windelberg}: Eine Einführung in die Geometrie, Göttingen (1973; Zbl 0248.50001)]. His effords reduce the set of axioms by one and yield a somewhat more stringent form of the compatibility conditions for incidence, order, and congruence.
Mathematics Subject Classification ID: 51F05
Mathematics Subject Classification ID: 51G05
zbMATH DE Number: 1292226
zbMATH Keywords: ordered planes
zbMATH Keywords: halfordered planes
zbMATH Keywords: absolute planes
zbMATH Keywords: congruence
reviewed by: Franz B. Kalhoff
MaRDI profile type: Publication
cites work: Grundlagen der Mathematik I
cites work: Pseudo-Euklidische Ebenen und Euklidische Räume
cites work: Hyperbolic spaces
cites work: Ebenen mit Kongruenz
full work available at URL: https://doi.org/10.1007/bf01229221
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description: scientific article; zbMATH DE number 1292226