The fundamental theorem of affine geometry

• Autores: Juan Bautista Sancho de Salas
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 38, Nº 2, 2023, págs. 221-235
• Idioma: inglés
• Enlaces
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• Resumen

  • 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.