scientific article; zbMATH DE number 7136175

zbMath1425.54007MaRDI QIDQ4972510

Paulina Szyszkowska, Marcin Szyszkowski

Publication date: 25 November 2019

Full work available at URL: http://www.mathjournals.org/jrms/2018-033-001/2018-033-001-004.html

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Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Fixed-point and coincidence theorems (topological aspects) (54H25) Polynomials in number theory (11C08) Congruences; primitive roots; residue systems (11A07)

Related Items (4)

On some relations between ideals of nowhere dense sets in topologies on positive integers ⋮ Increasing sequence of \(T_0\)-topologies on the set of positive integers ⋮ Coset topologies on \(\mathbb{Z}\) and arithmetic applications ⋮ The common division topology on $\mathbb{N}$

Cites Work

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• Connections between connected topological spaces on the set of positive integers
• The closures of arithmetic progressions in the common division topology on the set of positive integers
• Properties of the division topology on the set of positive integers
• The Darboux property for polynomials in Golomb’s and Kirch’s topologies
• On the Infinitude of Primes
• A Countable, Connected, Locally Connected Hausdorff Space
• A Connected Topology for the Integers

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