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arXiv · 2204.10594

Linear-type maps between affine and projective spaces

Juan B. Sancho de Salas
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Abstract

We determine those maps between affine or projective spaces that are linear in the abstract sense of transforming collinear points into collinear points and whose restriction to any line is constant or injective. Our results are extensions of the classical Fundamental Theorems of Affine and Projective Geometries.

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Juan B. Sancho de Salas. 2023-07-27. Linear-type maps between affine and projective spaces. https://arxiv.org/abs/2204.10594

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