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Modern Projective Geometry

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Paperback, 363 blz. | Engels
Springer Netherlands | 0e druk, 2010
ISBN13: 9789048155446
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Springer Netherlands 0e druk, 2010 9789048155446
Onderdeel van serie Mathematics and Its Applications
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Samenvatting

This monograph develops projective geometries and provides a systematic treatment of morphisms. It introduces a new fundamental theorem and its applications describing morphisms of projective geometries in homogeneous coordinates by semilinear maps. Other topics treated include three equivalent definitions of projective geometries and their correspondence with certain lattices; quotients of projective geometries and isomorphism theorems; and recent results in dimension theory.

Specificaties

ISBN13:9789048155446
Taal:Engels
Bindwijze:paperback
Aantal pagina's:363
Uitgever:Springer Netherlands
Druk:0

Inhoudsopgave

Preface. Introduction. 1. Fundamental Notions of Lattice Theory. 2. Projective Geometries and Projective Lattices. 3. Closure Spaces and Matroids. 4. Dimension Theory. 5. Geometries of degree n. 6. Morphisms of Projective Geometries. 7. Embeddings and Quotient-Maps. 8. Endomorphisms and the Desargues Property. 9. Homogeneous Coordinates. 10. Morphisms and Semilinear Maps. 11. Duality. 12. Related Categories. 13. Lattices of Closed Subspaces. 14. Orthogonality. List of Problems. Bibliography. List of Axioms. List of Symbols. Index.

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        Modern Projective Geometry