相对映射的周期点  

PERIODIC POINTS FOR RELATIVE MAPS

作　　者：赵学志[1] 

机构地区：[1]首都师范大学数学系,北京100037

出　　处：《数学年刊（A辑）》2003年第2期193-198,共6页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.19901020);北京市自然科学基金(No.1992001;No.1032002)资助的项目.

摘　　要：相对Nielsen周期点理论是讨论形如f:(X,A)→(X,A)映射的周期点个数估计问题,本文对已知的估计量给予统一的处理.利用这种方法,定义了两个新的Nielsen型数, NPn(f;X-A)和NΦn(f;X-A),它们分别是映射f在cl(X-A)中的n周期点和最小周期为n的周期点个数的下界.Relative Nielsen periodic point theory is concerned with the estimation of the number of periodic points of the maps of the form f : (X, A) → (X, A). This paper presents a kind of systematic treatment for the existed estimations. By using this method, the author defines two new Nielsen type numbers, NPn(f; X - A) and NΦn(f; X - A), which are lower bounds for the numbers of periodic points of period n and periodic points of least period n of f on Cl(X - A) respectively.

关 键 词：自映射 不动点类 周期点 NIELSEN数 

分 类 号：O189.2[理学—数学]