传递系统中的不变攀援集(英文)  

Invariant Scrambled Sets in Transitive Systems

作　　者：袁大琏[1] 吕杰[1] 

机构地区：[1]华南师范大学数学学院,广州510631

出　　处：《数学进展》2009年第3期302-308,共7页Advances in Mathematics（China）

基　　金：Supported bv NSFC(No.10471049.No.10771079)

摘　　要：推广了攀援集的概念.研究了传递系统中的不变攀援集.证明了在相当广泛的条件下,一个传递系统有一个不变的稠密的σ-Cantor子集是完全攀援集.The concept of scrambled sets is generalized and invariant scrambled sets in transitive systems are investigated. It is proved that under certain conditions, which include many usual cases, a transitive system admits a totally scrambled set that is a dense a-Cantor subset of the space and is invariant under the map in consideration.

关 键 词：POLISH空间 传递映射 混沌 n-攀援集 不变攀援集 

分 类 号：O189[理学—数学]