The fundamental theorem of affine geometry

DOI10.17398/2605-5686.38.2.221OpenAlexW4389850158MaRDI QIDQ6177902

Juan B. Sancho de Salas

Publication date: 18 January 2024

Published in: Extracta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17398/2605-5686.38.2.221

zbMATH Keywords

fundamental theoremparallel morphismssemiaffine morphisms

Mathematics Subject Classification ID

General theory of linear incidence geometry and projective geometries (51A05) Linear incidence geometric structures with parallelism (51A15)

Cites Work

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• An axiomatic system for affine spaces in terms of points, lines, and planes
• A local fundamental theorem for projections
• Morphisms of projective geometries and semilinear maps
• An elementary proof of the fundamental theorem of projective geometry
• Affine Maps, Euclidean Motions and Quadrics
• Einige Anwendungen der projektiven Geometrie auf Fragen der Flächentheorie
• Fundamental theorem of geometry without the 1-to-1 assumption
• Weak Linear Mappings -- A Survey
• The fundamental theorems of affine and projective geometry revisited
• Geometry. I, II. Transl. from the French by M. Cole and S. Levy

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