高阶相对Nie1sen数(Ⅰ)

Higher Order Relative Nielsen Numbers(Ⅰ)

设f:(X,A)→(X,A)为紧多面体对映射，则高阶相对Nielsen数N^(n）(f;X,A)与NI~（n)(f;X,A)已在[1]中定义，本文在此基础上，给出相对Nielsen数NI~（n)(f;X,A)的估计与计算.

Let f:(X,A)→(X,A)be map of a pair of compact polyhedra,then the relative Nielsen numbers N^(n) (f;X,A) and NI^(n) (f;X,A)are defined in[1].In this paper,we will give the estimations and computations of the Nielsen number N^(n) (f;X,A).