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Szyszkowska, Paulina
- Properties of the Common Division Topology on the Set of Positive Integers
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1 Kazimierz Wielki University, Pl. Weyssenhoffa 11, 85–072 Bydgoszcz, PL
1 Kazimierz Wielki University, Pl. Weyssenhoffa 11, 85–072 Bydgoszcz, PL
Source
Journal of the Ramanujan Mathematical Society, Vol 33, No 1 (2018), Pagination: 91–98Abstract
We study properties of the common division topology T on the set of positive integers N. We prove that this space has the fixed point property. Moreover we characterize the Darboux property of polynomials which turns out to be equivalent to the continuity. In the last section we examine properties of prime numbers in the topology T.References
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