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On the weak isomorphism of strictly ergodic homeomorphisms

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Abstract

Two strictly ergodic homeomorphism (on an infinite dimensional torus) are constructed, each of which is a continuous homomorphic image of the other, but which are not measure-theoretically isomorphic.

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  1. Institute of Mathematics, Nicholas Copernicus University, ul. Chopina 12/18, 87-100, Toruń, Poland

    Mariusz Lemańczyk

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  1. Mariusz Lemańczyk
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Lemańczyk, M. On the weak isomorphism of strictly ergodic homeomorphisms. Monatshefte für Mathematik 108, 39–46 (1989). https://doi.org/10.1007/BF01300065

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