Bisztriczky, T.; Lorimer, J. W. Subspace operations in affine Klingenberg spaces. (English) Zbl 0818.51001 Bull. Belg. Math. Soc. - Simon Stevin 2, No. 1, 99-108 (1995). This paper deals with the operations of join, intersection and parallelism on the free subspaces of an affine Klingenberg space \(A\). Necessary and sufficient conditions under which the join of two free subspace is free are determined and in such a case the dimension formula is verified. Reviewer: D.F.J.Keppens (Dendermonde) Cited in 2 Documents MSC: 51C05 Ring geometry (Hjelmslev, Barbilian, etc.) 51D10 Abstract geometries with exchange axiom 51D15 Abstract geometries with parallelism Keywords:free subspace; parallelism; affine Klingenberg space PDF BibTeX XML Cite \textit{T. Bisztriczky} and \textit{J. W. Lorimer}, Bull. Belg. Math. Soc. - Simon Stevin 2, No. 1, 99--108 (1995; Zbl 0818.51001) Full Text: EuDML