caa a22 4500 605461163 CHVBK 20210128100242.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s10114-015-4725-3 doi (NATIONALLICENCE)springer-10.1007/s10114-015-4725-3 Morales C. Instituto de Matemática, Universidade Federal do Rio de Janeiro, P. O. Box 68530, 21945-970, Rio de Janeiro, Brazil aut On the complexity of expansive measures [Elektronische Daten] [C. Morales] 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. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 Positively expansive measure nationallicence complexity nationallicence compact metric space nationallicence Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/9(2015-09-01), 1501-1507 1439-8516 31:9<1501 2015 31 10114 https://doi.org/10.1007/s10114-015-4725-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-4725-3 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Morales C. Instituto de Matemática, Universidade Federal do Rio de Janeiro, P. O. Box 68530, 21945-970, Rio de Janeiro, Brazil aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/9(2015-09-01), 1501-1507 1439-8516 31:9<1501 2015 31 10114