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Orthogonality

  • Claude-Alain Faure
  • Alfred Frölicher
Chapter
  • 570 Downloads
Part of the Mathematics and Its Applications book series (MAIA, volume 521)

Abstract

This last chapter deals with a particular case of dualized geometries, when the set of closed hyperplanes is given by a polarity. The so obtained orthogeometries can be equivalently described by an orthogonality relation ┴, as shown in Section 14.1. The typical example of an orthogeometry is the projective geometry associated to a vector space equipped with a non-singular reflexive sesquilinear form. Moreover, one can choose either an alternating bilinear form or a Hermitian form.

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Copyright information

© Springer Science+Business Media Dordrecht 2000

Authors and Affiliations

  • Claude-Alain Faure
    • 1
  • Alfred Frölicher
    • 1
  1. 1.University of GenevaGenevaSwitzerland

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