On the construction of minimal skew products

S. Glasner; B. Weiss

doi:10.1007/BF02760611

On the construction of minimal skew products

S. Glasner^*, B. Weiss

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

57 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	321-336
Number of pages	16
Journal	Israel Journal of Mathematics
Volume	34
Issue number	4
DOIs	https://doi.org/10.1007/BF02760611
State	Published - Dec 1979

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10.1007/BF02760611

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

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On the construction of minimal skew products

Abstract

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