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Mathematics and Its Applications

# Modern Projective Geometry

Authors: Faure, Claude-Alain, FrÃ¶licher, Alfred

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eBook $169.00 price for USA in USD • ISBN 978-94-015-9590-2 • Digitally watermarked, DRM-free • Included format: PDF • ebooks can be used on all reading devices • Immediate eBook download after purchase Hardcover$219.99
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Softcover $219.99 price for USA in USD About this book 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. ## Table of contents (14 chapters) Table of contents (14 chapters) • Fundamental Notions of Lattice Theory Pages 1-24 Faure, Claude-Alain (et al.) • Projective Geometries and Projective Lattices Pages 25-53 Faure, Claude-Alain (et al.) • Closure Spaces and Matroids Pages 55-79 Faure, Claude-Alain (et al.) • Dimension Theory Pages 81-106 Faure, Claude-Alain (et al.) • Geometries of Degree n Pages 107-125 Faure, Claude-Alain (et al.) ### Buy this book eBook$169.00
price for USA in USD
• ISBN 978-94-015-9590-2
• Digitally watermarked, DRM-free
• Included format: PDF
• ebooks can be used on all reading devices
Hardcover $219.99 price for USA in USD Softcover$219.99
price for USA in USD

## Bibliographic Information

Bibliographic Information
Book Title
Modern Projective Geometry
Authors
Series Title
Mathematics and Its Applications
Series Volume
521
2000
Publisher
Springer Netherlands