The closures of arithmetic progressions in Kirch's topology on the set of positive integers

DOI10.1142/S1793042115500360zbMath1323.54004MaRDI QIDQ5248570

Paulina Szczuka

Publication date: 8 May 2015

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

zbMATH Keywords

arithmetic progressionsclosuresKirch's topology

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Arithmetic progressions (11B25) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05) Primes (11A41)

Related Items (2)

On some relations between ideals of nowhere dense sets in topologies on 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
• Adic Topologies for the Rational Integers
• A Countable, Connected, Locally Connected Hausdorff Space
• A Connected Topology for the Integers
• Unnamed Item

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