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612-822-4611
Points and Lines: Characterizing the Classical Geometries

Points and Lines: Characterizing the Classical Geometries

Paperback

Series: Universitext

General MathematicsGeometry

ISBN10: 3642156266
ISBN13: 9783642156267
Publisher: Springer
Published: Dec 20 2010
Pages: 676
Weight: 2.12
Height: 1.40 Width: 6.14 Depth: 9.21
Language: English
I.Basics.- 1 Basics about Graphs.- 2 .Geometries: Basic Concepts.- 3 .Point-line Geometries.-4.Hyperplanes, Embeddings and Teirlinck's Eheory.- II.The Classical Geometries.- 5 .Projective Planes.-6.Projective Spaces.- 7.Polar Spaces.- 8.Near Polygons.- III.Methodology.- 9.Chamber Systems and Buildings.- 10.2-Covers of Chamber Systems.- 11.Locally Truncated Diagram Geometries.-12.Separated Systems of Singular Spaces.- 13 Cooperstein's Theory of Symplecta and Parapolar Spaces.- IV.Applications to Other Lie Incidence Geometries.- 15.Characterizing the Classical Strong Parapolar Spaces: The Cohen-Cooperstein Theory Revisited.- 16.Characterizing Strong Parapolar Spaces by the Relation between Points and Certain Maximal Singular Subspaces.- 17.Point-line Characterizations of the Long Root Geometries.- 18.The Peculiar Pentagon Property.

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Geometry