충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제35권1호
  • /
  • Pages.69-76
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  • 2022
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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CHARACTERIZATIONS ON ORBITAL INVERSE LIMIT SYSTEMS

  • Chu, Hahng-Yun (Department of Mathematics Chungnam National University) ;
  • Lee, Nakyung (Department of Mathematics Chungnam National University)
  • 투고 : 2022.01.10
  • 심사 : 2022.02.16
  • 발행 : 2022.02.15
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초록

In this article, we investigate minimality, transitivity and mixing property for a shift map on the orbital inverse limit systems.

키워드

과제정보

This work was supported by Research Scholarship of Chungnam National University.

참고문헌

  1. L. Block, Diffeomorphisms obtained from endomorphisms, Trans. Amer. Math. Soc., 214 (1975), 403-413. https://doi.org/10.2307/1997115
  2. R. Bowen, Topological entropy and axiom A, Global Analysis (Proc. Sympos. Pure Math., Vol. XIV, Berkeley, Calif.,1968) Amer. Math. Soc., Providence, R.I. (1970), 23-41.
  3. H. Y. Chu and N. Lee, Expansivity on orbital inverse limit systems, J. Chungcheong Math. Soc., 32 (2019), no. 1, 157-164. https://doi.org/10.14403/JCMS.2019.32.1.157
  4. H. Y. Chu and N. Lee, Dynamical properties on orbital inverse limit systems, In preparation.
  5. S. H. Li, Dynamical properties of the shift maps on the inverse limit spaces, Ergodic Theory Dynam. Systems, 12 (1992), no. 1, 95-108. https://doi.org/10.1017/s0143385700006611