Israel Journal of Mathematics

, Volume 32, Issue 2–3, pp 201–208 | Cite as

A point distal transformation of the torus



A point-distal non-distal homeomorphism of the torus is constructed. By a similar construction, a point-distal homeomorphism of then+1-dimensional torus can be constructed, with any two compact subsets ofR n among its fibres over some factor.


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  1. 1.
    W. Veech,Point distal flows, Amer. J. Math.92 (1970), 205–242.MATHCrossRefMathSciNetGoogle Scholar

Copyright information

© The Weizmann Science Press of Israel 1979

Authors and Affiliations

  • M. Rees
    • 1
  1. 1.Mathematics InstituteUniversity of WarwickCoventryEngland

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