<p>We deal with generalizations of the Fundamental Theorem of Projective Geometry to other related geometries (of dimension <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\ge 3\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>≥</mo> <mn>3</mn> </mrow> </math></EquationSource> </InlineEquation>) and non bijective maps. We consider locally projective geometries and locally affino-projective geometries (which include the classical Möbius, Laguerre and Minkowski geometries).</p>

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The Fundamental Theorem for locally projective geometries

  • Juan B. Sancho de Salas

摘要

We deal with generalizations of the Fundamental Theorem of Projective Geometry to other related geometries (of dimension \(\ge 3\) 3 ) and non bijective maps. We consider locally projective geometries and locally affino-projective geometries (which include the classical Möbius, Laguerre and Minkowski geometries).