Event
01_1
제출번호(No.) | 0147 |
---|---|
분류(Section) | Contributed Talk |
분과(Session) | Topology (TO) |
영문제목 (Title(Eng.)) |
Continuous shadowable points and stabilty |
저자(Author(s)) |
Sang Jin Kim1 Chungnam National University1 |
초록본문(Abstract) | Let $Act(G,X)$ be the set of continuous action of finitely generated group $G$ and compact metric space $X$. In this talk, we study the concepts of topologically stable points and continuous shadowable points of group action $T \in Act(G,X)$. We show that if $T$ is expansive then the set of continuous shadowable points and topological stable points are coincide. Moreover we show that an expansive action $T\in Act(G,X)$ is topologically stable if and only if every point of $X$ is topologically stable with respect to $T$. |
분류기호 (MSC number(s)) |
37B05, 37C50 |
키워드(Keyword(s)) | group action, shadowing |
강연 형태 (Language of Session (Talk)) |
Korean |