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- W2032257706 abstract "TN THIS paper six examples are constructed of compact metric spaces with self homeomorphisms which answer in the negative certain questions raised in the theory of topological entropy. The first example is of two commuting homeomorphisms with the property that the entropy of their composite is greater than the sum of their entropies. The second example shows that the entropy of a homeomorphism may not be the supremum of the restriction of that homeomorphism to the minimal subsets. The third is a construction of finite closed covers with large entropy and the fourth is a construction of finitely additive measures with large entropy. The final two examples show that two kinds of homomorphisms may not preserve entropy in the expected manner." @default.
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- W2032257706 date "1972-12-01" @default.
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- W2032257706 title "Some counter-examples in topological entropy" @default.
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- W2032257706 doi "https://doi.org/10.1016/0040-9383(72)90033-x" @default.
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