Commun. Korean Math. Soc. 2020; 35(4): 1309-1318
Online first article September 14, 2020 Printed October 31, 2020
https://doi.org/10.4134/CKMS.c200058
Copyright © The Korean Mathematical Society.
Namjip Koo, Hyunhee Lee, Nyamdavaa Tsegmid
Chungnam National University; Chungnam National University; Mongolian National University of Education
In this paper we extend 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: Primary 54B20, 37C50, 37C75, 37C70
Supported by: The first author was supported by the National Research Foundations of Korea(NRF) grant funded by the Korea government(MSIT)(No.2020R1F1A1A01068032). The third author was supported by research fund of Mongolian National University of Education.
2020; 35(1): 287-300
2010; 25(2): 257-262
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