A+ CATEGORY SCIENTIFIC UNIT

Weak Closure Theorem fails for ${\Bbb Z}^2$-actions

Volume 153 / 2002

T. Downarowicz, J. Kwiatkowski Studia Mathematica 153 (2002), 115-125 MSC: 37A05, 37A15, 37A35. DOI: 10.4064/sm153-2-2

Abstract

We construct an example of a Morse ${{\mathbb Z}}^2$-action which has rank one and whose centralizer contains elements which cannot be weakly approximated by the transformations of the action.

Authors

  • T. DownarowiczInstitute of Mathematics
    Technical University
    Wybrzeże Wyspiańskiego 27
    50-370 Wrocław, Poland
    e-mail
  • J. KwiatkowskiFaculty of Mathematics and Computer Science
    Nicholas Copernicus University
    Chopina 12/18
    87-100 Toruń, Poland
    e-mail

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