1Institute of Mathematics Technical University Wybrzeże Wyspiańskiego 27 50-370 Wrocław, Poland 2Faculty of Mathematics and Computer Science Nicholas Copernicus University Chopina 12/18 87-100 Toruń, Poland
Studia Mathematica, Tome 153 (2002) no. 2, pp. 115-125
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.
Keywords:
construct example morse mathbb action which has rank whose centralizer contains elements which cannot weakly approximated transformations action
Affiliations des auteurs :
T. Downarowicz 
1
;
J. Kwiatkowski 
2
1
Institute of Mathematics Technical University Wybrzeże Wyspiańskiego 27 50-370 Wrocław, Poland
2
Faculty of Mathematics and Computer Science Nicholas Copernicus University Chopina 12/18 87-100 Toruń, Poland
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author = {T. Downarowicz and J. Kwiatkowski},
title = {Weak {Closure} {Theorem} fails for ${\Bbb Z}^2$-actions},
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T. Downarowicz; J. Kwiatkowski. Weak Closure Theorem fails for ${\Bbb Z}^2$-actions. Studia Mathematica, Tome 153 (2002) no. 2, pp. 115-125. doi: 10.4064/sm153-2-2