Convergent sequences in precompact group topologies

• Autores: Dikran Dikranjan , Hans Weber, Giuseppina Barbieri , Chiara Milan
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 6, Nº. 2, 2005, págs. 149-169
• Idioma: inglés
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• Resumen

  • 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.