학술저널
VARIOUS SHADOWING PROPERTIES FOR INVERSE LIMIT SYSTEMS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 29, No. 4
-
2016.11657 - 661 (5 pages)
- 2
Let f : X → X be a continuous surjection of a compact metric space and let (X f , e f ) be the inverse limit of a continuous surjection f on X. We show that for a continuous surjective map f , if f has the asymptotic average, the average shadowing, the ergodic shadowing property then e f is topologically transitive.
1. Introduction
2. Proof of Theorem 1.1
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