On Topologies on the Group $({\mathbb{Z}}_p{)}^{\mathbb{N}}$

I. K. Babenko, S. A. Bogatyi

It is proved that, on any Abelian group of infinite cardinality $\mathbf{m}$, there exist precisely $2^{2^{\mathbf{m}}}$ nonequivalent bounded Hausdorff group topologies. Under the continu…