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In [1] the notion of topological entropy was introduced as a flow-isomorphism invariant. It was conjectured that topological entropy was the supremum of the measure entropies taken over all invariant regular Borel probability measures. This conjecture has been verified by E. I. Dinaburg [2] for a homeomorphism of a
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T. N. T. Goodman (1971) studied this question.
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