Increasing sequence of topologies on the set of positive integers

DOI10.1016/J.TOPOL.2022.108096zbMath1495.54015OpenAlexW4224021285WikidataQ114128000 ScholiaQ114128000MaRDI QIDQ2140619

Paulina Szyszkowska

Publication date: 23 May 2022

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2022.108096

zbMATH Keywords

connectednessarithmetic progressionslocally connectednessGolomb's topologyincreasing sequence of topologiesKirch-type topologyKirch's topology

Mathematics Subject Classification ID

Connected and locally connected spaces (general aspects) (54D05) Arithmetic progressions (11B25) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Related Items (4)

Properties of increasing sequence of Kirch-type topologies on the set of positive integers ⋮ On some generalizations of the Kirch's ideal ⋮ Increasing sequence of \(T_0\)-topologies on the set of positive integers ⋮ Coset topologies on \(\mathbb{Z}\) and arithmetic applications

Cites Work

• Regular open arithmetic progressions in connected topological spaces on the set of positive integers
• On the Infinitude of Primes
• A Countable, Connected, Locally Connected Hausdorff Space
• A Connected Topology for the Integers
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