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Categorical Aspects in Projective Geometry
Authors:Claude-Alain Faure  Alfred Frölicher
Institution:(1) Section de Mathématiques, Université de Genève, Case postale 240, CH-1211 Genève 24, Switzerland
Abstract:After introducing morphisms between projective geometries, some categorical questions are examined. It is shown that there are three kinds of embeddings and two kinds of quotients. Furthermore the morphisms decompose in a canonical way into four factors.
Keywords:morphisms and homomorphisms of projective geometries  subgeometries and subspaces  quotient geometries  initial and final morphisms  sections and retractions  decomposition of a morphism
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