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Modern Projective Geometry (Mathematics And Its Applications Volume 521)
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Modern Projective Geometry (Mathematics And Its Applications Volume 521) (Mathematics and Its Applications) Hardcover - 2000 - 2000th Edition

by Claude-Alain Faure; Alfred Frölicher


From the publisher

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.

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Details

  • Title Modern Projective Geometry (Mathematics And Its Applications Volume 521) (Mathematics and Its Applications)
  • Author Claude-Alain Faure; Alfred Frölicher
  • Binding Hardcover
  • Edition number 2000th
  • Edition 2000
  • Pages 384
  • Publisher Springer
  • Date August 1, 2000
  • ISBN 9780792365259

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Citations

  • Scitech Book News, 03/01/2001, Page 42
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Modern Projective Geometry
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Modern Projective Geometry (Mathematics and Its Applications, 521)
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Modern Projective Geometry (Mathematics and Its Applications, 521)

by Faure, Claude-Alain; Frölicher, Alfred

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