Name: Modern Projective Geometry
Price: 289.0 CAD
Availability: click-8910566-13679532-1590426732202?url=https%3A%2F%2Fwww.ebooks.com%2Fcj.asp%3FIID%3D1262315%26fc%3DCA&cjsku=1262315
Author: Claude-alain Faure
ISBN: 9789401595902

Modern Projective Geometry

by Claude-alain Faure 2020-05-30 07:43:28

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Projective geometry is a very classical part of mathematics and one might think that the subject is completely explored and that there is nothing new to be added. But it seems that there exists no book on projective geometry which provides a systematic treatment of morphisms. We intend to fill this gap. It is in this sense that the present monograph can be called modern. The reason why morphisms have not been studied much earlier is probably the fact that they are in general partial maps between the point sets G and G, noted '' 9 : G -- < G'', i.e. maps 9 : D -4 G'' whose domain Dom 9 := D is a subset of G. We give two simple examples of partial maps which ought to be morphisms. The first example is purely geometric. Let E, F be complementary subspaces of a projective geometry G. If x E G \ E, then g(x) := (E V x) n F (where E V x is the subspace generated by E U {x}) is a unique point of F, i.e. one obtains a map 9 : G \ E -4 F. As special case, if E = {z} is a singleton and F a hyperplane with z tf. F, then g: G \ {z} -4 F is the projection with center z of G onto F. Less

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