Regular open arithmetic progressions in connected topological spaces on the set of positive integers

DOI10.3336/GM.49.1.02zbMath1348.11010OpenAlexW2318610948MaRDI QIDQ2931859

Paulina Szczuka

Publication date: 28 November 2014

Published in: Glasnik Matematicki (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3336/gm.49.1.02

zbMATH Keywords

arithmetic progressionssemiregular spaceregular open setGolomb's topologyKirch's topologyFurstenberg's topologythe division topology

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Arithmetic progressions (11B25) Primes (11A41)

Related Items (6)

Increasing sequence of topologies on the set of positive integers ⋮ Properties of increasing sequence of Kirch-type topologies on the set of positive integers ⋮ On some generalizations of the Kirch's ideal ⋮ Coset topologies on \(\mathbb{Z}\) and arithmetic applications ⋮ The closures of arithmetic progressions in the common division topology on the set of positive integers ⋮ The closures of arithmetic progressions in Kirch's topology on the set of positive integers

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