Topological stability for induced maps on a hyperspace
Commun. Korean Math. Soc.
Published online September 14, 2020
Namjip Koo, Hyunhee Lee, and Nyamdavaa Tsegmid
Chungnam National University, Mongolian National University of Education
Abstract : In this paper we expand the concept of topological stability from continuous maps to the corresponding induced maps and prove that a continuous map is topologically stable if and only if its induced map also is topologically stable.
Keywords : hyperspace, the induced map, topological stability, expansiveness, shadowing property
MSC numbers : 54B20, 37C50, 37C75, 37C70
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