A twisted tensor product on symbolic dynamical systems and the Ashley's problem

被引：0

作者：

Hastings, HM ^{[1
]}

Silberger, S ^{[1
]}

Weiss, MT ^{[1
]}

Wu, Y ^{[1
]}

机构：

[1] Hofstra Univ, Dept Math, Hempstead, NY 11550 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2003年 / 9卷 / 03期

关键词：

symbolic dynamics; shift equivalence; topological conjugacy; Ashley's problem;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define the notion of fiber bundle via a twisted tensor product on the transition matrices. We define the notion of topological conjugacy and shift equivalence in this bundle context and show that topological conjugacy implies shift equivalence. We show that the "Ashley system" Sigma(A) fits into our fiber bundle context. We introduce another system Sigma(W), topologically conjugate to the full 2-shift, which has the same base space and fiber as the Ashley system, but is constructed with a different twisting. We show that Sigma(A) and Sigma(W) are shift equivalent but not bundle isomorphic.

引用

页码：549 / 558

页数：10