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Título:
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An approach to duality on abelian precompact groups
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Autores:
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Chasco, M.J. ;
Martín Peinador, Elena
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Tipo de documento:
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texto impreso
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Editorial:
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WALTER DE GRUYTER, 2008-09
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Topología
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Tipo = Artículo
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Resumen:
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We prove that every dense subgroup of a topological abelian group has the same ‘convergence dual’ as the whole group. By the ‘convergence dual’ we mean the character group endowed with the continuous convergence structure. We draw as a corollary that the continuous
convergence structure on the character group of a precompact group is discrete and therefore a non-compact precompact group is never reflexive in the sense of convergence. We do not know if the same statement holds also for reflexivity in the sense of Pontryagin; at least in the category of metrizable abelian groups it does.
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En línea:
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https://eprints.ucm.es/id/eprint/12711/1/2007JGT57.pdf
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