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Subspace operations in affine Klingenberg spaces. (English) Zbl 0818.51001
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.

MSC:
51C05 Ring geometry (Hjelmslev, Barbilian, etc.)
51D10 Abstract geometries with exchange axiom
51D15 Abstract geometries with parallelism
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