论文标题
仿射和投射空间之间的线性型图
Linear-type maps between affine and projective spaces
论文作者
论文摘要
我们确定仿射或投射空间之间的图，这些图是从抽象的意义上进行线性的，将共线点转换为共线点，并且其限制到任何线是恒定或注入性的。我们的结果是仿射和投射几何形状的经典基本定理的扩展。
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.
