ON PERIODIC SHADOWING OF INDUCED HYPERSPACE MAPS

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Published: Feb 15, 2021
DOI: https://doi.org/10.14403/jcms.2021.34.1.55
Keywords:
periodic shadowing property, strong periodic shadowing property, expansivenss, hyperspaces, induced hyperspatial system
Mathematics Subject Classification (2020):
Primary 37C50, 54H20, 54B20

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Namjip Koo
Department of Mathematics, Chungnam National University
Hyunhee Lee
Department of Mathematics, Chungnam National University
Nyamdavaa Tsegmid
Department of Mathematics, Mongolian National University of Education

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.





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Article Details

Issue
Vol. 34 No. 1 (2021)
Section
Articles