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On the construction of minimal skew products

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Abstract

It is shown that under fairly general conditions on a compact metric spaceY there are minimal homeomorphisms onZ×Y of the form(z,y)→(σz, h z (y)) where (Z, σ) is a arbitrary metric minimal flow andz→h z is a continuous map fromZ to the space of homeomorphisms ofY. Similar results are obtained for strict ergodicity, topolotical weak mixing and some relativized concepts.

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Authors and Affiliations

  1. Tel Aviv University, Tel Aviv, Israel

    S. Glasner & B. Weiss

  2. The Hebrew University of Jerusalem, Jersalem, Israel

    S. Glasner & B. Weiss

Authors
  1. S. Glasner
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  2. B. Weiss
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Glasner, S., Weiss, B. On the construction of minimal skew products. Israel J. Math. 34, 321–336 (1979). https://doi.org/10.1007/BF02760611

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  • DOI: https://doi.org/10.1007/BF02760611

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