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无限差集类及其应用
引用本文:杨润生.无限差集类及其应用[J].数学学报,2005,48(3):457-464.
作者姓名:杨润生
作者单位:南京师范大学数学与计算机科学学院 南京210097
基金项目:国家自然科学基金资助项目(10271057)
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.

关 键 词:无限差集类  族F-2扩散  扩散

Collection of Infinite Difference Sets and Its Application
Run Sheng YANG College of Mathematics and Computer Science,Nanjing Normal University,Nanjing ,P. R. China.Collection of Infinite Difference Sets and Its Application[J].Acta Mathematica Sinica,2005,48(3):457-464.
Authors:Run Sheng YANG College of Mathematics and Computer Science  Nanjing Normal University  Nanjing  P R China
Institution:Run Sheng YANG College of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097, P. R. China
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.
Keywords:Collection of infinite difference sets  Family F-2 scattering  Scattering
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