Abstract
In [13] it was introduced and studied the notion of continuum-wise expansive measure. Here we extend the results for expansive measures obtained in [8] to the cw-expansive measure context. More precisely, we show that this set is a Gδσ subset of the space of Borel probability measures of the underlying space and that the cw-expansive measures with invariant support are weak* dense on it. We also study the homeomorphisms of compact metric spaces f:X→X for which the cw-expansive measures are weak* dense in the set of Borel probability measures. We show that the set of heteroclinic points of f has empty interior and X has no isolated points.
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