Finite partially \(\{ 0,2\}\)-semiaffine linear spaces
type: Item
instance of: scholarly article
title: Finite partially \(\{ 0,2\}\)-semiaffine linear spaces
zbMATH Open document ID: 0959.51011
author: Nicola Durante
author: V. Napolitano
author: Domenico Olanda
published in: Bulletin of the Belgian Mathematical Society - Simon Stevin
publication date: 2001-04-24T00:00:00Z
review text: Partially \(\{ 0,2 \}\)-semiaffine linear spaces are linear spaces that admit a partition of the line set into two sets \({\mathcal V}\) and \({\mathcal I}\) such that: (I) for every line \(l \in {\mathcal V}\) and every point \(p\) not on \(l\), there are either 0 or 2 lines through \(p\) disjoint with \(l\), (II) through every point there are at most two lines of \({\mathcal I}\). Many examples of such linear spaces are given. A complete classification is given if different point degrees occur. If every point degree equals \(n+1\), then a classification is given if the number of points is at least \(n^2\).
reviewed by: Bart De Bruyn
Mathematics Subject Classification ID: 51E20
Mathematics Subject Classification ID: 05B25
zbMATH DE Number: 1421344
zbMATH Keywords: linear spaces
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1421344