A note on the average shadowing property for expansive maps

A note on the average shadowing property for expansive maps
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DOI:
10.1016/j.topol.2011.04.016
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发表时间:
2012
影响因子:
0.6
通讯作者:
Dominik Kwietniak;P. Oprocha
Dominik Kwietniak;P. Oprocha
中科院分区:
数学4区
文献类型:
--
作者:
Dominik Kwietniak;P. Oprocha

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设f是紧度量空间中的连续映射。假设跟踪的f,我们涉及的平均跟踪性质的传递性和它的变种。我们的结果推广和完善了Sakai [K. Sakai,Various shadowing properties for positively expansive maps,Topology Appl.131(2003)15-31]。
Let f be a continuous map of a compact metric space. Assuming shadowing for f we relate the average shadowing property of f to transitivity and its variants. Our results extend and complete the work of Sakai [K. Sakai, Various shadowing properties for positively expansive maps, Topology Appl. 131 (2003) 15–31].