Collinearity-preserving functions between Desarguesian planes
نویسندگان
چکیده
منابع مشابه
Collinearity-preserving functions between Desarguesian planes.
Using concepts from valuation theory, we obtain a characterization of all collinearity-preserving functions from one affine or projective Desarguesian plane into another. The case in which the planes are projective and the range contains a quadrangle has been treated previously in the literature. Our results permit one or both planes to be affine and include cases in which the range contains a ...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1980
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.77.7.3756