仿射几何基本定理

Q3 Mathematics Extracta Mathematicae Pub Date : 2023-07-20 DOI:10.17398/2605-5686.38.2.235

J.B. Sancho de Salas

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引用次数: 0

摘要

我们将经典的 "仿射几何基本定理 "自然地推广到非双射映射的情况中。这一扩展从几何学角度描述了半假变形。齐克（W. Zick）于 1981 年得到了这一扩展，尽管它几乎不为人所知。我们的目的是提出并讨论这一结果的简化证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The fundamental theorem of affine geometry

We deal with a natural generalization of the classical Fundamental Theorem of Affine Geometry to the case of non bijective maps. This extension geometrically characterizes semiaffine morphisms. It was obtained by W. Zick in 1981, although it is almost unknown. Our aim is to present and discuss a simplified proof of this result.

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