Collinearity Preserving Functions between Desarguesian Planes is popular PDF and ePub book, written by David S. Carter in 1980, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Collinearity Preserving Functions between Desarguesian Planes can be Read Online from any device for your convenience.
Collinearity Preserving Functions between Desarguesian Planes Book PDF Summary
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 where the range contains a triangle but no quadrangle. A key theorem is that, with the exception of certain embeddings defined on planes of order 2 and 3, every collinearity-preserving function from one affine Desarguesian plane into another can be extended to a collinearity-preserving function between enveloping projective planes.
Detail Book of Collinearity Preserving Functions between Desarguesian Planes PDF
- Author : David S. Carter
- Release : 20 September 1980
- Publisher : American Mathematical Soc.
- ISBN : 9780821822357
- Genre : Mathematics
- Total Page : 108 pages
- Language : English
- PDF File Size : 19,5 Mb
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