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http://dx.doi.org/10.14403/jcms.2021.34.1.55

ON PERIODIC SHADOWING OF INDUCED HYPERSPACE MAPS  

Koo, Namjip (Department of Mathematics Chungnam National University)
Lee, Hyunhee (Department of Mathematics Chungnam National University)
Tsegmid, Nyamdavaa (Department of Mathematics Mongolian National University of Education)
Publication Information
Journal of the Chungcheong Mathematical Society / v.34, no.1, 2021 , pp. 55-60 More about this Journal
Abstract
In this paper we deal with the preservation of the periodic shadowing property of induced hyperspatial systems. More precisely, we show that an expansive system has the periodic shadowing property if and only if its induced hyperspatial system has the periodic shadowing property.
Keywords
periodic shadowing property; strong periodic shadowing property; expansivenss; hyperspaces; induced hyperspatial system;
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