Abstract
A natural notion of morphisms between projective geometries is introduced. The classical correspondence of projective geometries with certain lattices is extended into an equivalence of categories. Furthermore, quotient geometries are defined. The associated projections are shown to be those morphisms having a right inverse, the inclusion of subspaces those having a left inverse.
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Supported by a grant from the ‘Fonds national suisse de la recherche scientifique’.
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Faure, CA., Frölicher, A. Morphisms of projective geometries and of corresponding lattices. Geom Dedicata 47, 25–40 (1993). https://doi.org/10.1007/BF01263491
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DOI: https://doi.org/10.1007/BF01263491