Abstract
The paper is concerned with a uniform geometric definition of linear mappings in a projective or grassmannian space into a projective space. We discuss sufficient conditions for the existence of a linear mapping in a finite dimensional pappian projective space which continues two given linear mappings in complementary subspaces.
The subspace spanned by the image set of a linear mapping in the grassmannian of d-dimensional subspaces of an n-dimensional projective space has at most dimension\(\left( {\begin{array}{*{20}c} {n + 1} \\ {d + 1} \\ \end{array} } \right)\) −1.
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Havlicek, H. Zur Theorie Linearer Abbildungen I. J Geom 16, 152–167 (1981). https://doi.org/10.1007/BF01917584
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DOI: https://doi.org/10.1007/BF01917584