Nonstandard Methods for Upper Banach Density Problems

Nonstandard Methods for Upper Banach Density Problems
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DOI:
10.1006/jnth.2001.2671
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发表时间:
2001-11
影响因子:
0.7
通讯作者:
Renling Jin
Renling Jin
中科院分区:
数学3区
文献类型:
--
作者:
Renling Jin

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利用非标准分析方法,给出了一个与Shnirel'man密度和下渐近密度定理相平行的上Banach密度定理的一般形式和证明方法.
Abstract A general method is developed by using nonstandard analysis for formulating and proving a theorem about upper Banach density parallel to each theorem about Shnirel'man density or lower asymptotic density.