학술저널
A NOTE ON PERSISTENCE IN EQUICONTINUOUS DYNAMICAL SYSTEMS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 38, No. 3
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2025.08219 - 224 (6 pages)
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DOI : 10.14403/jcms.2025.38.3.219
- 3
In this paper we study some relations between shadowing and persistence for the class of homeomorphisms on a compact metric space. Thus we show that every equicontinuous homeomorphism with the shadowing property of a compact metric space is persistent. We also prove that a homeomorphism of a compact metric space has the persistent shadowing property if and only if it is persistent with the shadowing property. Furthermore, some related examples are given.
1. Introduction and preliminaries
2. Main results
References
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