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Flocks of topological circle planes

Published/Copyright: September 30, 2005
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Advances in Geometry
From the journal Volume 5 Issue 4

Abstract

We prove that every flock of a finite-dimensional locally compact connected circle plane is homeomorphic to ℝ or 1 and that every flock of a real Miquelian circle plane defines a compact 4-dimensional translation plane. Furthermore we investigate (topological) properties of regulizations. These properties are used to relate the automorphism group of a flock to the automorphism group of the corresponding translation plane.

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Published Online: 2005-09-30
Published in Print: 2005-10-18

Walter de Gruyter GmbH & Co. KG

Articles in the same Issue

  1. On antipodes on a convex polyhedron
  2. Extensions of isomorphisms for affine dual polar spaces and strong parapolar spaces
  3. Affine parts of topological unitals
  4. Flocks of topological circle planes
  5. Positivity, sums of squares and the multi-dimensional moment problem II
  6. Artin groups of type B and D
  7. Intersection of ACM-curves in ℙ3
  8. Die harmonischen Involutionen einer Möbiusebene
https://doi.org/10.1515/advg.2005.5.4.559

Articles in the same Issue

  1. On antipodes on a convex polyhedron
  2. Extensions of isomorphisms for affine dual polar spaces and strong parapolar spaces
  3. Affine parts of topological unitals
  4. Flocks of topological circle planes
  5. Positivity, sums of squares and the multi-dimensional moment problem II
  6. Artin groups of type B and D
  7. Intersection of ACM-curves in ℙ3
  8. Die harmonischen Involutionen einer Möbiusebene
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