On the extensiveness axiom for partial affine spaces
type: Item
instance of: scholarly article
title: On the extensiveness axiom for partial affine spaces
zbMATH Open document ID: 0853.51002
DOI: 10.1007/BF01223039
author: Victor V. Pambuccian
published in: Journal of Geometry
publication date: 1996-01-01T00:00:00Z
review text: The author states that the result of \textit{S. Meuren} and \textit{A. Herzer} [ibid. 50, No. 1-2, 124-142 (1994; Zbl 0807.51002)] remains valid if the axiom \((R)\) is replaced by the weaker ones \((R_1)\), \((R_2)\). He presents an example of a geometry where \((R_1)\), \((R_2)\) hold but \((R)\) is false.
Mathematics Subject Classification ID: 51A15
zbMATH DE Number: 872721
zbMATH Keywords: geometric structures with parallelism
zbMATH Keywords: partial linear space
reviewed by: Wolfgang Nolte
MaRDI profile type: Publication
cites work: An axiom system for partial affine spaces
full work available at URL: https://doi.org/10.1007/bf01223039
OpenAlex ID: W2912042344
description: scientific article; zbMATH DE number 872721