On generalized projective spaces operating on sets
type: Item
instance of: scholarly article
title: On generalized projective spaces operating on sets
zbMATH Open document ID: 0884.51001
DOI: 10.1007/BF01229562
author: Johannes André
published in: Journal of Geometry
publication date: 1998-03-19T00:00:00Z
review text: This is a detailed study of the properties of skew-projective spaces, a notion introduced by the author in Ann. Univ. Saraviensis Ser. Math. 7, 1-36 (1996) and Geom. Dedicata 58, No. 1, 63-73 (1995; Zbl 0836.51011) that generalizes both groups and projective spaces, and includes spherical spaces as well as the ideal spaces (spaces of infinity) of skew-affine spaces (another notion introduced by the author). One such property, that generalizes the well-known property of projective spaces, is that all proper subspaces of a certain class of skew-projective spaces (``with cancellation rule'') are desarguesian.
Mathematics Subject Classification ID: 51A05
Mathematics Subject Classification ID: 20N99
zbMATH DE Number: 1053887
zbMATH Keywords: skew-projective
zbMATH Keywords: spherical spaces
zbMATH Keywords: ideal spaces
zbMATH Keywords: skew-affine spaces
reviewed by: Victor V. Pambuccian
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01229562
OpenAlex ID: W4255785208
description: scientific article; zbMATH DE number 1053887