kms

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