Let 𝐺 be an Abelian group and 𝐺□ be the group equipped with the finest 𝜔-narrow topology. If |𝐺| ≥ℵ0, then 𝐺□ is not pseudocompact. If 𝐺 and 𝐻 are almost isomorfic Abelian groups, then 𝐺□ ≅𝐻□ .