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.

引用

页码：673 / 682

页数：10

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