The closures of arithmetic progressions in the common division topology on the set of positive integers |
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Authors: | Paulina Szczuka |
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Affiliation: | 1. Institute of Mathematics, Kazimierz Wielki University, Pl. Weyssenhoffa 11, 85-072, Bydgoszcz, Poland
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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. |
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