Weak Closure Theorem fails for ℤ²-actions

T. Downarowicz; J. Kwiatkowski

Studia Mathematica (2002)

  • Volume: 153, Issue: 2, page 115-125
  • ISSN: 0039-3223

Abstract

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We construct an example of a Morse ℤ²-action which has rank one and whose centralizer contains elements which cannot be weakly approximated by the transformations of the action.

How to cite

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T. Downarowicz, and J. Kwiatkowski. "Weak Closure Theorem fails for ℤ²-actions." Studia Mathematica 153.2 (2002): 115-125. <http://eudml.org/doc/284712>.

@article{T2002,
abstract = {We construct an example of a Morse ℤ²-action which has rank one and whose centralizer contains elements which cannot be weakly approximated by the transformations of the action.},
author = {T. Downarowicz, J. Kwiatkowski},
journal = {Studia Mathematica},
keywords = {-action; weak closure theorem; rank one; metric centralizer; Morse sequence},
language = {eng},
number = {2},
pages = {115-125},
title = {Weak Closure Theorem fails for ℤ²-actions},
url = {http://eudml.org/doc/284712},
volume = {153},
year = {2002},
}

TY - JOUR
AU - T. Downarowicz
AU - J. Kwiatkowski
TI - Weak Closure Theorem fails for ℤ²-actions
JO - Studia Mathematica
PY - 2002
VL - 153
IS - 2
SP - 115
EP - 125
AB - We construct an example of a Morse ℤ²-action which has rank one and whose centralizer contains elements which cannot be weakly approximated by the transformations of the action.
LA - eng
KW - -action; weak closure theorem; rank one; metric centralizer; Morse sequence
UR - http://eudml.org/doc/284712
ER -

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