학술저널
SHADOWABLE POINTS FOR FINITELY GENERATED GROUP ACTIONS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 31, No. 4
-
2018.11411 - 420 (10 pages)
- 6
In this paper we introduce the notion of shadowable points for finitely generated group actions on compact metric spaace and prove that the set of shadowable points is invariant and Borel set and if chain recurrent set contained shadowable point set then it coincide with nonwandering set. Moreover an action T ∈ Act(G, X) has the shadowing property if and only if every point is shadowable.
Abstract
1. Introduction
2. Preliminary
3. Main Results
References
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