Abstract
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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References
W. Veech,Point distal flows, Amer. J. Math.92 (1970), 205–242.
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Rees, M. A point distal transformation of the torus. Israel J. Math. 32, 201–208 (1979). https://doi.org/10.1007/BF02764916
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DOI: https://doi.org/10.1007/BF02764916