Minimal transformations with no common factor need not be disjoint

Shmuel Glasner; Benjamin Weiss

doi:10.1007/BF02760665

Minimal transformations with no common factor need not be disjoint

Shmuel Glasner^*
, Benjamin Weiss

^*Corresponding author for this work

Einstein Institute of Mathematics

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

5 Scopus citations

Abstract

A countable family of minimal transformations (X, Z) is described for which no pair have a non-trivial common factor, and so that no pair is disjoint. This answers in the negative a question of H. Furstenberg.

Original language	English
Pages (from-to)	1-8
Number of pages	8
Journal	Israel Journal of Mathematics
Volume	45
Issue number	1
DOIs	https://doi.org/10.1007/BF02760665
State	Published - Mar 1983

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Minimal transformations with no common factor need not be disjoint

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