自由半群和斜积映射下的拓扑压  

Topological Pressure of Free Semigroup Actions and Skew-product Transformations

作　　者：王威 李渊 Wang Wei;Li Yuan(School of General Education,Nantong Institute of Technology,Jiangsu,Nantong 226002,China;School of Mathematics Science,Nanjing Normal University,Jiangsu,Nanjing 210023,China)

机构地区：[1]南通理工学院基础教学学院,南通226002 [2]南京师范大学数学科学学院,南京210023

出　　处：《数学理论与应用》2020年第1期91-96,共6页Mathematical Theory and Applications

基　　金：南通理工学院中青年骨干教师(首批)项目资助。

摘　　要：本文利用生成集和分离集定义符号空间中自由半群作用下的拓扑压,讨论该拓扑所具有的性质,再结合斜积映射得到相应的乘积定理.In this paper we define the topological pressure under the action of free semigroups in symbolic space by the spanning set and the separation set,investigate the properties of its topology and obtain a product theorem by a skew product mapping.

关 键 词：拓扑压 自由半群 斜积映射 

分 类 号：O189[理学—数学]