On the Complexity of Expansive Measures

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作者
C.A.MORALES
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[1] InstitutodeMatem′atica,UniversidadeFederaldoRiodeJaneiro
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摘要
We prove that the existence of positively expansive measures for continuous maps on compact metric spaces implies the existence of e > 0 and a sequence of(m, e)-separated sets whose cardinalities go to infinite as m →∞. We then prove that maps exhibiting such a constant e and the positively expansive maps share some properties.
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页码:1501 / 1507
页数:7
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