Fibered geometries

  • Authors:

  • Leen Kuijken;Hendrik Van Maldeghem

  • Affiliations:

  • Department of Pure Mathematics and Computer Algebra, University of Gent, Galglaan 2, 9000 Gent, Belgium;Department of Pure Mathematics and Computer Algebra, University of Gent, Galglaan 2, 9000 Gent, Belgium

  • Venue:
  • Discrete Mathematics
  • Year:
  • 2002

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Abstract

Our aim is to initiate the study of fibered geometries, in particular fibered projective planes and fibered generalized polygons. In fact, we apply the theory of fuzzy sets in a particular way on incidence geometry. Combinatorial and geometric questions arise. But also classical objects are recognized by this alternative view: for instance apartments arise naturally in the theory of "contagious values".