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Topological stability in hyperspace dynamical systems

이현희|구남집|Nyamdavaa Tsegmid
대한수학회 (The Korean Mathematical Society)|2020.10|대한수학회논문집 (Communications of the KMS)|제35권 제4호|pp. 1309-1318|DOI 10.4134/CKMS.c200058

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참고문헌

키워드

Hyperspacethe induced maptopological stabilityexpansivenessshadowing property
주제분류수학

초록

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.

Abstract

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.

참고문헌 (19)

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관련 논문AI추천

Persistence and pointwise topological stability for continuous maps of topological spacesJiandong Yin, Shuzhen Hua대한수학회 · 대한수학회보2024 · 제61권 제4호Topologically stable points and uniform limits구남집, 이현희대한수학회 · 대한수학회지2023 · 제60권 제5호Topologically stable measures in non-autonomous systemsPramod Das, Tarun Das대한수학회 · 대한수학회논문집2020 · 제35권 제1호Preservation of expansivity in hyperspace dynamical systems구남집, 이현희대한수학회 · 대한수학회지2021 · 제58권 제6호Continuity of the orbital and limit set maps in general dynamical systems박종서, 이경복대한수학회 · 대한수학회논문집2011 · 제26권 제4호On the density of various shadowing properties구남집, Nyamdavaa Tsegmid대한수학회 · 대한수학회논문집2019 · 제34권 제3호

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