[KSCI] Korea Science Citation Index Service

Lee, Manseob (Department of Mathematics Mokwon University)

Publication Information

Abstract

In this paper, we prove that a distal homeomorphism f of a compact connected metric space X does not have the eventual pseudo orbit tracing property.

Keywords

pseudo orbit tracing property; eventual pseudo orbit tracing property; distal; minimal;

Citations & Related Records

1	N. Aoki, Homeomorphisms without the pseudo orbit tracing property, Nagoya Math. J., 88(1982), 155-160. DOI
2	C. Good and J. Meddaugh, Orbital shadowing, internal chain transitivity and ${\omega}$ -limit sets, Ergodic Th. Dynam. Syst., 38 (2018), 143-154 DOI
3	R. Ellis, Lectures on Topological Dynamics, Benjamin, New York, 1969.
4	M. Lee, Note on the eventual shadowing property of a continuous map, J. Chungchong Math. Soc., 30 (2017), 381-385.
5	M. Lee, Eventual shadowing for chain transitive sets of $C^1$ generic dynamical systems, preprint.