The closures of arithmetic progressions in Kirch's topology on the set of positive integers

被引：3
|
作者：
Szczuka, Paulina [1 ]
机构：
[1] Kazimierz Wielki Univ, Dept Math, PL-85072 Bydgoszcz, Poland
来源：
INTERNATIONAL JOURNAL OF NUMBER THEORY | 2015年 / 11卷 / 03期
关键词：
Kirch's topology; closures; arithmetic progressions;
D O I：
10.1142/S1793042115500360
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we characterize the closures of arithmetic progressions in Kirch's topology D' on the set of positive integers with the base consisting of arithmetic progressions {an + b} such that numbers a and b are co-prime and a is square-free.
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页码：673 / 682
页数：10
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