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.
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References
Adámek, J.: Theory of Mathematical Structures, D. Reidel Publishing Company, Dordrecht, 1983.
Adámek, J., Herrlich, H. and Strecker, G. E.: Abstract and Concrete Categories, Wiley, New York, 1990.
Crapo, H. H. and Rota, G.-C.: On the Foundations of Combinatorial Theory: Combinatorial Geometries, MIT Press, 1970.
Faure, C.-A. and Frölicher, A.: Morphisms of projective geometries and of corresponding lattices, Geom. Dedicata 47(1993), 25-40.
Faure, C.-A. and Frölicher, A.: Morphisms of projective geometries and semilinear maps, Geom. Dedicata 53(1994), 237-262.
Faure, C.-A. and Frölicher, A.: Dualities for infinite-dimensional projective geometries, Geom. Dedicata 56(1995), 225-236.
Hermes, H.: Einführung in die Verbandstheorie, Grundlehren Band 73, Springer-Verlag, 1967.
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Faure, CA., Frölicher, A. Categorical Aspects in Projective Geometry. Applied Categorical Structures 6, 87–103 (1998). https://doi.org/10.1023/A:1008632119843
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DOI: https://doi.org/10.1023/A:1008632119843