Let X be a compact metric space, and let f :X→X be transitive with X infinite. We show that each ... more Let X be a compact metric space, and let f :X→X be transitive with X infinite. We show that each asymptotic class (or the stable set W s (x) for each x X) is of first category and so is the asymptotic relation. Moreover, we prove that if the proximal relation is dense in a neighbourhood of ...
Let X be a compact metric space, and let f :X→X be transitive with X infinite. We show that each ... more Let X be a compact metric space, and let f :X→X be transitive with X infinite. We show that each asymptotic class (or the stable set W s (x) for each x X) is of first category and so is the asymptotic relation. Moreover, we prove that if the proximal relation is dense in a neighbourhood of ...
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