4 papers · 1 filter
Statistically characterized subgroups of the circle (II): continued fractions
Pratulananda Das, Kumardipta Bose
In this note, we continue the investigation of the new version of characterized subgroups of the circle group , namely, "statistically characterized subgroups" (shortly…
Further observations on bornological covering properties and selection principles
Debraj Chandra, Pratulananda Das, Subhankar Das
This article is a continuation of the study of bornological open covers and related selection principles in metric spaces done in (Chandra et al. 2020) using the idea of strong uni…
Generating Subgroups of the Circle using a Generalized class of Density Functions
Pratulananda Das, Ayan Ghosh
In this article, we consider the generalized version of the natural density function introduced in \cite{BDK} where satisfies $g(n) \rightar…
Topological torsion elements via natural density and a quest for solution of Armacost like problem
Pratulananda Das, Ayan Ghosh
One can use the number theoretic idea of the notion of natural density \cite{B1} to define topological s-torsion elements (which form the statistically characterized subgroups, rec…