Proceedings of the American Mathematical Society

Author(s): Yong Moo Chung
Journal: Proc. Amer. Math. Soc. 124 (1996), 1615-1624.
MSC (1991): Primary 58F15
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Abstract: We show that if $f$

is a diffeomorphism of a closed surface and $\varLambda$ is a basic set for $f$

, then $HD(\{x\in \varLambda :the \enspace orbit \enspace of \enspace x \enspace by \enspace f \enspace is \enspace not \enspace dense \enspace in \enspace \varLambda \} )=HD(\varLambda )$ .

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