On the Complexity of Expansive Measures
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 expansi...
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| Veröffentlicht in: | Acta mathematica Sinica. English series 2015-09, Vol.31 (9), p.1501-1507 |
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| container_title | Acta mathematica Sinica. English series |
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| creator | Morales, C. A. |
| description | 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. |
| doi_str_mv | 10.1007/s10114-015-4725-3 |
| format | Article |
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| source | Springer Nature - Complete Springer Journals; Alma/SFX Local Collection |
| subjects | Complexity Constants Entropy Expansion Mapping Mathematical analysis Mathematics Mathematics and Statistics Metric space Studies 基数 复杂性 电子 紧度量空间 膨胀 证明 连续映射 集合 |
| title | On the Complexity of Expansive Measures |
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