A NOTE ON PERSISTENCE IN EQUICONTINUOUS DYNAMICAL SYSTEMS

• 발행기관: 충청수학회
• 저자명: Namjip Koo Hyunhee Lee
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 38, No. 3, 219~224쪽, 전체 6쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2025.08.31

국문 초록

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.

목차

1. Introduction and preliminaries

2. Main results

References

키워드

persistence equicontinuity shadowing property persis- tent shadowing property