The closures of arithmetic progressions in the common division topology on the set of positive integers

P. Szczuka
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引用次数: 6

Abstract

In this paper we characterize the closures of arithmetic progressions in the topology T on the set of positive integers with the base consisting of arithmetic progressions {an + b} such that if the prime number p is a factor of a, then it is also a factor of b. The topology T is called the common division topology.
正整数集合上公除法拓扑中等差数列的闭包
本文刻画了在正整数集上的拓扑T上的等差数列的闭包,使得如果素数p是a的因数,那么它也是b的因数。这种拓扑T称为公除法拓扑。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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