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The aim of this short note is to explain how the arguments of the "closinglemma with time control" of F. Abdenur and S. Crovisier (arXiv:1111.4206) canbe used to answer Question 1 of the article "Instability for the rotation setof homeomorphisms of the torus homotopic to the identity" of S. Addas-Zanata.

Instability for the rotation set of diffeomorphisms of the torus homotopic to the identity