Claude-Alain Faure,
Alfred Frölicher
Modern Projective Geometry
Gebonden Engels 2000 2000e druk 9780792365259Levertijd ongeveer 9 werkdagen
Gratis verzonden
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
ISBN13:9780792365259
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:363
Uitgever:Springer Netherlands
Druk:2000
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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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