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Geometry — von Staudt’s Point of View

Proceedings of the NATO Advanced Study Institute held at Bad Windsheim, West Germany, July 21—August 1,1980

  • Conference proceedings
  • © 1981

Overview

Editors:
  1. Peter Plaumann

    1. Mathematisches Institut, Universität Erlangen-Nürnberg, Erlangen, West Germany

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  2. Karl Strambach

    1. Mathematisches Institut, Universität Erlangen-Nürnberg, Erlangen, West Germany

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Part of the book series: Nato Science Series C: (ASIC, volume 70)

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Table of contents (15 papers)

  1. Front Matter

    Pages i-xi
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  2. General Theory

    1. Projectivities In Projective Planes

      • Günter Pickert
      Pages 1-49

    2. Perspectivities in Circle Geometries

      • Helmut Karzel, Hans-Joachim Kroll
      Pages 51-99

    3. Cross-Ratios in Projective and Affine Planes

      • J. C. Ferrar
      Pages 101-125

    4. Cross Ratios and a Unifying Treatment of Von Staudt’s Notion of Reeller Zug

      • Walter Benz, Hans-Joachim Samaga, Helmut Schaeffer
      Pages 127-150

    5. Projectivities in Free-Like Geometries

      • A. Barlotti
      Pages 151-164

    6. Existentially Closed Projective Planes

      • Otto H. Kegel
      Pages 165-174

  3. Projectivities and Conics

    1. Conicoids: Conic-Like Figures in Non-Pappian Planes

      • T. G. Ostrom
      Pages 175-196

    2. Symmetries of Quadrics

      • Helmut Mäurer
      Pages 197-229

  4. Projectivities in Special Geometries

    1. Some New Results on Groups of Projectivities

      • Heinz Lüneburg
      Pages 231-248

    2. Theorems About Reidemeister Conditions

      • Ascher Wagner
      Pages 249-273

    3. Permutation Groups with Few Fixed Points

      • E. E. Shult
      Pages 275-311

    4. Projectivities and the Topology of Lines

      • Helmut Salzmann
      Pages 313-337

    5. Projectivities and the Geometric Structure of Topological Planes

      • Rainer Löwen
      Pages 339-372

    6. Semimodular Locally Projective Lattices of Rank 4 from v.Staudt’s Point of View

      • Armin Herzer
      Pages 373-400

  5. Appendix

    1. The Impact of Von Staudt’s Foundations of Geometry

      • Hans Freudenthal
      Pages 401-425

  6. Back Matter

    Pages 427-430
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Keywords

Editors and Affiliations

  • Mathematisches Institut, Universität Erlangen-Nürnberg, Erlangen, West Germany

    Peter Plaumann, Karl Strambach

Bibliographic Information

  • Book Title: Geometry — von Staudt’s Point of View

  • Book Subtitle: Proceedings of the NATO Advanced Study Institute held at Bad Windsheim, West Germany, July 21—August 1,1980

  • Editors: Peter Plaumann, Karl Strambach

  • Series Title: Nato Science Series C:

  • DOI: https://doi.org/10.1007/978-94-009-8489-9

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: D. Reidel Publishing Company, Dordrecht, Holland 1981

  • Hardcover ISBN: 978-90-277-1283-7Published: 31 May 1981

  • Softcover ISBN: 978-94-009-8491-2Published: 14 October 2011

  • eBook ISBN: 978-94-009-8489-9Published: 06 December 2012

  • Series ISSN: 1389-2185

  • Edition Number: 1

  • Number of Pages: XII, 430

  • Topics: History of Mathematical Sciences

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