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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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