圆周上Markov映射逆极限空间的同胚问题  

HOMEOMORPHISM PROBLEM ON INVERSE LIMIT SPACES BY MARKOV CIRCLE MAPS

作　　者：袁大琏[1] 吕杰[1] 

机构地区：[1]华南师范大学数学科学学院,广东广州510631

出　　处：《华南师范大学学报（自然科学版）》2005年第2期116-120,共5页Journal of South China Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助课题(10171034)

摘　　要：证明了圆周上两个关于两组固定分点的Markov映射列在相同下标的两个约束映射总是关于两组分点的固定次序Markov同型的条件下生成同胚的逆极限空间.特别考虑了把相邻分点之间的弧映满圆周(并环绕圆周若干次)或具有无穷个水平区间的Markov映射.It is proved that two sequences of Markov maps on the circle generated homeomorphic inverse limit spaces if each pair of the bounding maps with the same subscript are of the same Markov type with respect to a fixed arrangement of the two partitions. The Markov maps which take an arc between two adjacent partition points onto the circle (and make it surround the circle several times) or which have infinitely many horizontal intervals are taken as the special consideration.

关 键 词：MARKOV 逆极限空间 映射 圆周 同胚 分点 无穷 

分 类 号：O189.1[理学—数学] TP271.8[理学—基础数学]