| 无限差集类的性质及其应用 |
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| 引用本文： | 徐卫忠,陈尔明.无限差集类的性质及其应用[J].华侨大学学报(自然科学版),2009,30(6). |
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| 作者姓名： | 徐卫忠 陈尔明 |
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| 作者单位： | 华侨大学,数学科学学院,福建,泉州,362021 |
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| 基金项目： | 福建省自然科学基金资助项目(S0650017) |
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| 摘 要： | 研究由Z+的子集族F生成的无限差集类φF-Δ={S-S|S∈F},其对偶族KφF-Δ,以及族F-={S∈P|S-S∈F}的性质,给出它们在平移负不变条件下的关系,并讨论它们在动力系统研究中的应用.
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| 关 键 词： | 无限差集类 族 对偶族 拓扑可迁 平移不变 |
Characters of Infinite Difference Sets and Its Application |
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| XU Wei-zhong,CHEN Er-ming.Characters of Infinite Difference Sets and Its Application[J].Journal of Huaqiao University(Natural Science),2009,30(6). |
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| Authors: | XU Wei-zhong CHEN Er-ming |
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| Institution: | School of Mathematical Sciences;Huaqiao University;Quanzhou 362021;China |
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| Abstract: | Let (F)be a family for Z_+,(F)generate a collection of infinite difference sets φ(F)-Δ = {S-S|S∈(F)}.In this paper,we study the properties of φ(F)-Δand its dual family (k)φ(F)-Δ and the family (F)= {S∈P|S-S∈(F)},figure out their relations under the translation minus invariant conditions,and discuss their application in topological dynamics. |
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| Keywords: | collection of infinite difference sets family dual family topological transitive translation invariant |
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