Claude-Alain Faure, Alfred Frölicher

Modern Projective Geometry (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Netherlands
• Seitenzahl: 363
• Erscheinungstermin: 18. April 2013
• Englisch
• ISBN-13: 9789401595902
• Artikelnr.: 43986303

Inhaltsangabe

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.- List of Axioms.- List of Symbols.