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Weakly wandering sets and compressibility in descriptive setting

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Abstract

A Borel automorphismT on a standard Borel space\(\left( {X,\mathbb{B}} \right)\) is constructed such that (a) there is no probability measure invariant underT and (b) there is no Borel setW weakly wandering underT and which generates the invariant setX.

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Authors and Affiliations

  1. Department of Mathematics, Northeastern University, 02115, Boston, MA, USA

    S Eigen & A Hajian

  2. Department of Mathematics, University of Bombay, Kalina, 400 098, Bombay, India

    M G Nadkarni

Authors
  1. S Eigen
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  2. A Hajian
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  3. M G Nadkarni
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Eigen, S., Hajian, A. & Nadkarni, M.G. Weakly wandering sets and compressibility in descriptive setting. Proc. Indian Acad. Sci. (Math. Sci.) 103, 321–327 (1993). https://doi.org/10.1007/BF02866994

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  • DOI: https://doi.org/10.1007/BF02866994

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