Abstract
The aim of this note is to give an alternative proof for the following result originally proved by Bonatti, Díaz and Kwietniak. For every nge 3 there exists a compact manifold without boundary {mathbf {M}} of dimension n and a non-empty open set Usubset text {Diff}({mathbf {M}}) such that for every fin U there exists a non-hyperbolic measure mu invariant for f with positive entropy and full support. We also investigate the connection between the Feldman-Katok convergence of measures and the Kuratowski convergence of their supports.
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