Symmetries of two-point sets

@inproceedings{Chad2008SymmetriesOT,
  title={Symmetries of two-point sets},
  author={Ben Chad and Rolf Suabedissen},
  year={2008}
}
  • Ben Chad, Rolf Suabedissen
  • Published 2008
A two-point set is a subset of the plane which meets every planar line in exactly two-points. We discuss the problem “What are the topological symmetries of a twopoint set?”. Our main results assert the existence of two-point sets which are rigid and the existence of two-point sets which are invariant under the action of certain autohomeomorphism groups. We pay particular attention to the isometry group of a two-point set, and show that such groups consist only of rotations and that they may be… CONTINUE READING

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O pewnej mnogości plaskiej

  • S. Mazurkiewicz
  • która ma z każda prosta dwa i tylko dwa punkty…
  • 1914
Highly Influential
2 Excerpts

J

  • J. J. Dijkstra
  • van Mill, Two point set extensions—a…
  • 1997
3 Excerpts

A two-point set must be zero-dimensional

  • J. Kulesza
  • Proc. Amer. Math. Soc. 116 (2)
  • 1992
1 Excerpt

On a theorem of Larman

  • V. J. Baston, F. A. Bostock
  • J. London Math. Soc. (2) 5
  • 1972
1 Excerpt

General topology

  • S. Willard
  • Addison-Wesley Publishing Co., Reading, Mass…
  • 1970
1 Excerpt

Travaux de topologie et ses applications

  • S. Mazurkiewicz
  • Comité de rédaction: K. Borsuk, R. Engelking, B…
  • 1969
1 Excerpt

A problem of incidence

  • D. G. Larman
  • J. London Math. Soc. 43
  • 1968
2 Excerpts

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