Dimension groups for interval maps II: the transitive case
动力系统
2007-05-23 v2 算子代数
摘要
Any continuous, transitive, piecewise monotonic map is determined up to a binary choice by its dimension module with the associated finite sequence of generators. The dimension module by itself determines the topological entropy of any transitive piecewise monotonic map, and determines any transitive unimodal map up to conjugacy. For a transitive piecewise monotonic map which is not essentially injective, the associated dimension group is a direct sum of simple dimension groups, each with a unique state.
引用
@article{arxiv.math/0405467,
title = {Dimension groups for interval maps II: the transitive case},
author = {Fred Shultz},
journal= {arXiv preprint arXiv:math/0405467},
year = {2007}
}
备注
32 pages, 1 postscript (eps) figure, LateX. minor changes. Has been accepted for publication in Ergodic Theory and Dynamical Systems