Geometry - von Staudt's Point of View (eBook, PDF)

Proceedings of the NATO Advanced Study Institute held at Bad Windsheim, West Germany, July 21-August 1,1980
Redaktion: Plaumann, P.; Strambach, K.

• Format: PDF

Produktbeschreibung

Proceedings of the NATO Advanced Study Institute, Bad Windesheim, West Germany, July 21-August 1, 1980

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Produktdetails

• Verlag: Springer Netherlands
• Seitenzahl: 430
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9789400984899
• Artikelnr.: 44059230

Inhaltsangabe

I: General Theory.- Projectivities in Projective Planes.- Perspectivities in Circle Geometries.- Cross-ratios in Projective and Affine Planes.- Cross Ratios and a Unifying Treatment of Von Staudt's Notion of Reeller Zug.- Projectivities in Free-like Geometries.- Existentially Closed Projective Planes.- II: Projectivities and Conics.- Conicoids: Conic-like Figures in Non-Pappian Planes.- Symmetries of Quadrics.- III: Projectivities in Special Geometries.- Some New Results on Groups of Projectivities.- Theorems about Reidemeister Conditions.- Permutation Groups with Few Fixed Points.- Projectivities and the Topology of Lines.- Projectivities and the Geometric Structure of Topological Planes.- Semimodular Locally Projective Lattices of Rank 4 from v. Staudt's Point of View.- The Impact of Von Staudt's Foundations of Geometry.- Index of Subjects.