【摘要】 若S为Z+的一无限子集,称S-S={n-m|n,m∈S,n>m}为一无限差集.本文研究Z+的子集族F生成的无限差集类(?)F-△={S-S|S∈F)及其对偶族K(?)F-△的性质,并讨论它们在动力系统研究中的应用.更多还原

【Abstract】 If S is an infinite subset of Z+, the set S - S = {n - m | n, m ∈ S, n > m} is called an infinite difference set. Let F be a family for Z+, F generate a collection of infinite difference sets (?)F-△ = {S - S|S ∈ F}. In this paper, we shall study the properties of (?)F-△ and its dual family K(?)F-△, and discuss their appication in topological dynamics.更多还原