Modern projective geometry 9780792365259, 0792365259, 978-90-481-5544-6, 978-94-015-9590-2

Projective geometry is a very classical part of mathematics and one might think that the subject is completely explored

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English Pages 363 [382] Year 2000

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Modern projective geometry
 9780792365259, 0792365259, 978-90-481-5544-6, 978-94-015-9590-2

Table of contents :
Front Matter....Pages i-xvii
Fundamental Notions of Lattice Theory....Pages 1-24
Projective Geometries and Projective Lattices....Pages 25-53
Closure Spaces and Matroids....Pages 55-79
Dimension Theory....Pages 81-106
Geometries of Degree n ....Pages 107-125
Morphisms of Projective Geometries....Pages 127-155
Embeddings and Quotient-Maps....Pages 157-186
Endomorphisms and the Desargues Property....Pages 187-213
Homogeneous Coordinates....Pages 215-234
Morphisms and Semilinear Maps....Pages 235-253
Duality....Pages 255-273
Related Categories....Pages 275-299
Lattices of Closed Subspaces....Pages 301-322
Orthogonality....Pages 323-344
Back Matter....Pages 345-363

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