Properties of the division topology on the set of positive integers

DOI10.1142/S1793042116500500zbMath1338.54120MaRDI QIDQ2800158

Paulina Szczuka

Publication date: 15 April 2016

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

connectednesscontinuitycompactnessarithmetic progressionsprime numbersAlexandroff topologyclosuresDarboux propertydivision topology

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Connected and locally connected spaces (general aspects) (54D05) Arithmetic progressions (11B25) Primes (11A41)

Related Items (5)

On some relations between ideals of nowhere dense sets in topologies on positive integers ⋮ Unnamed Item ⋮ Coset topologies on \(\mathbb{Z}\) and arithmetic applications ⋮ Ideals of nowhere dense sets in some topologies on positive integers ⋮ The common division topology on $\mathbb{N}$

Cites Work

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• Connections between connected topological spaces on the set of positive integers
• Alexandroff Spaces

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