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On projections in spaces of pencils

Oryszczyszyn H., Prażmowski K.

Demonstratio Mathematica

1998

Vol. 31, nr 4

825-833

In this paper we continue investigations of projections in line spaces defined over a vector space. The aim of the paper is to characterize projectivities and projective collineations in spaces of pencils. The main result is an expected one-projective collineations are those determined by "linear" transformations over underlying vector space. Basic notions, definitions and results are taken from [3].