On the construction of minimal skew products

S. Glasner*, B. Weiss

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

54 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 languageEnglish
Pages (from-to)321-336
Number of pages16
JournalIsrael Journal of Mathematics
Volume34
Issue number4
DOIs
StatePublished - Dec 1979

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