【摘要】 设 f为N维单体到自身的连续映射 ,F是 f的下降 .文中给出了这种映射有素周期点的一个必要条件———存在x∈Ω(f) ,使x是准周期点 ,但不是周期点 .更多还原

【Abstract】 Let f be a continuous map of a unit solid body in R n.F is a descent of f.In this paper,we mainly give a necessary condition for this class of self mapping to have a prime periodic point.Namely,if f has prime periodic points,there is a point x∈Ω(f) such that x is not a periodic point but is an eventually periodic point.更多还原