Event
01_1
| 제출번호(No.) | 0142 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Topology (TO) |
| 영문제목 (Title(Eng.)) |
Staructurally stability of transitive sets |
| 저자(Author(s)) |
Manseob Lee1, Junmi Park2 Mokwon University1, Chungnam National University2 |
| 초록본문(Abstract) | Let $f$ be a diffeomorphism on a compact smooth Riemannian manifold $M$ endowed with the $C^1$ topology, and let $\Lambda$ be a chain transitive set for $f$. Then we can defind the "local structurally stability" on $\Lambda.$ In this talk, we show that if $f$ is structurally stable on a chain transitive set $\Lambda$, then $\Lambda$ is hyperbolic. Moreover, it does satisfy for a transitive set also. |
| 분류기호 (MSC number(s)) |
37C20, 37D20 |
| 키워드(Keyword(s)) | structurally stable, hyperbolic, transitive, chain transitive |
| 강연 형태 (Language of Session (Talk)) |
Korean |