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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한수학회 대한수학회지 대한수학회지 제58권 제6호
- 발행연도
- 2021.11
- 수록면
- 1,421 - 1,431 (11page)
- DOI
- 10.4134/JKMS.j210052
이용수
초록· 키워드
오류제보하기
In this paper we study the preservation of various notions of expansivity in discrete dynamical systems and the induced map for $n$-fold symmetric products and hyperspaces. Then we give a characterization of a compact metric space admitting hyper $N$-expansive homeomorphisms via the topological dimension. More precisely, we show that $C^0$-generically, any homeomorphism on a compact manifold is not hyper $N$-expansive for any $N\in \mathbb{N}$. Also we give some examples to illustrate our results.
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참고문헌 (18)
참고문헌 신청
N. Aoki / 1994 / Topological theory of dynamical systems / North-Holland Publishing Co
A. Artigue / 2013 / Hyper-expansive homeomorphisms / Publ. Mat. Urug 14:72~77
ALFONSO ARTIGUE / 2016 / Kinematic expansive flows / Ergodic Theory and Dynamical Systems 36(2):390~421
Walter Bauer / 1975 / Topological dynamics of transformations induced on the space of probability measures / Monatshefte für Mathematik 79(2):81~92
Nilson C. Bernardes / 2012 / Graph theoretic structure of maps of the Cantor space / Advances in Mathematics 231(3-4):1655~1680
A. Artigue / 2013 / Hyper-expansive homeomorphisms / Publ. Mat. Urug 14:72~77
ALFONSO ARTIGUE / 2016 / Kinematic expansive flows / Ergodic Theory and Dynamical Systems 36(2):390~421
Walter Bauer / 1975 / Topological dynamics of transformations induced on the space of probability measures / Monatshefte für Mathematik 79(2):81~92
Nilson C. Bernardes / 2012 / Graph theoretic structure of maps of the Cantor space / Advances in Mathematics 231(3-4):1655~1680
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