Increasing sequence of \(T_0\)-topologies on the set of positive integers

DOI10.1016/j.topol.2023.108732OpenAlexW4387142721MaRDI QIDQ6181124

Paulina Szyszkowska, Dawid Krasiński

Publication date: 22 January 2024

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

Full work available at URL: https://doi.org/10.1016/j.topol.2023.108732

zbMATH Keywords

connectednessarithmetic progressionsprime numberslocally connectednessincreasing sequence of topologiescommon division topologydivision topologytopologies on \(\mathbb{N} \)

Mathematics Subject Classification ID

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

Cites Work

• Connections between connected topological spaces on the set of positive integers
• General topology. I. Basic concepts and constructions. Dimension theory. Transl. from the Russian by D. B. O'Shea
• Increasing sequence of topologies on the set of positive integers
• On the Infinitude of Primes
• A Countable, Connected, Locally Connected Hausdorff Space
• A Connected Topology for the Integers
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Increasing sequence of \(T_0\)-topologies on the set of positive integers