Modern Projective Geometry
(Sprache: Englisch)
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...
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Klappentext zu „Modern Projective Geometry “
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.
Inhaltsverzeichnis zu „Modern Projective Geometry “
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.
Bibliographische Angaben
- Autoren: Claude-Alain Faure , Alfred Frölicher
- 2010, Softcover reprint of the original 1st ed. 2000., 363 Seiten, Maße: 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer Netherlands
- ISBN-10: 9048155444
- ISBN-13: 9789048155446
Sprache:
Englisch
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