Resumen de Convergent sequences in precompact group topologies

Dikran Dikranjan, Hans Weber, Giuseppina Barbieri, Chiara Milan

• We study the sequences of integers (un) that converge to 0 in some precompact group topology on Z and the properties of the finest topology with this property when (un) satisfies a linear recurrence relation with bounded coefficients. Some of the results are extended to the case of sequences in arbitrary Abelian groups.