离散动力系统不动点类的Reidemeister数

Tye Reidemeister Number of the Fixpoint Class of the Discrete Dynamical System

本文在[1]的基础上进一步研究了离散系统f的不动点分类问题,并由此得到了该系统不动点类的同伦不变量—Reidemeister数R(f)。定义1.设(X,p)是X的一个覆叠空间,而X是单连通的。若(X’,p’)是X的任一覆叠空间,则应存在一个从(X,p)到(X’,p’)的同态φ,且易知(X,φ)

The paper defines the Reidemeister number of the fixpontclass of the dicretedynamical system, and its homotopical invariance. Some useful results are found by usingthem.