The torsion Bohr topology for Abelian groups. (Q392549)

Let \(G\) be an Abelian group. The Bohr topology on \(G\) is the initial topology with respect to the family of all homomorphisms from \(G\) into the circle group \(\mathbb T\).NEWLINENEWLINE In the paper under review, the author introduces the torsion Bohr topology of \(G\) as being the initial topology with respect to the family of all homomorphisms from \(G\) into the torsion subgroup of \(\mathbb T\), and makes a comparative study of these topologies. The main results include the study of closed, discrete, compact, and, respectively, bounded subsets in the group \(G\), endowed with the torsion Bohr topology.