E-Book, Englisch, Band 521, 363 Seiten, eBook
Faure / Frölicher Modern Projective Geometry
2000
ISBN: 978-94-015-9590-2
Verlag: Springer Netherland
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 521, 363 Seiten, eBook
Reihe: Mathematics and Its Applications
ISBN: 978-94-015-9590-2
Verlag: Springer Netherland
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
