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Topological Entropy for Noncompact Sets
Transactions of the American Mathematical Society
Vol. 184 (Oct., 1973), pp. 125-136
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/1996403
Page Count: 12
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For f: X → X continuous and $Y \subset X$ a topological entropy h(f, Y) is defined. For X compact one obtains results generalizing known theorems about entropy for compact Y and about Hausdorff dimension for certain $Y \subset X = S^1$. A notion of entropy-conjugacy is proposed for homeomorphisms.
Transactions of the American Mathematical Society © 1973 American Mathematical Society