16 citations · 35 across the 24 of their papers we have counts for
5 papers · 1 filter
The Golomb space is topologically rigid
Taras Banakh, Dario Spirito, Sławomir Turek
The is the set of positive integers endowed with the topology generated by the base consisting of arithmetic progressions $\{a+bn:n\g…
The Golomb topology of polynomial rings
Dario Spirito
We study properties of the Golomb topology on polynomial rings over fields, in particular trying to determine conditions under which two such spaces are not homeomorphic. We show t…
The Golomb topology on a Dedekind domain and the group of units of its quotients
Dario Spirito
We study the Golomb spaces of Dedekind domains with torsion class group. In particular, we show that a homeomorphism between two such spaces sends prime ideals into prime ideals an…
Suprema in spectral spaces and the constructible closure
Carmelo Antonio Finocchiaro, Dario Spirito
Given an arbitrary spectral space , we endow it with its specialization order and we study the interplay between suprema of subsets of and the constructible to…
The upper Vietoris topology on the space of inverse-closed subsets of a spectral space and applications
Carmelo A. Finocchiaro, Marco Fontana, Dario Spirito
Given an arbitrary spectral space , we consider the set of all nonempty subsets of that are closed with respect to the inverse topology. We i…