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Strong reflexivity of Abelian groups

Abstract

A reflexive topological group G is called strongly reflexive if each closed sub-group and each Hausdorff quotient of the group G and of its dual group is reflexive. In this paper we establish the adequate concept of strong reflexivity for convergence groups and we prove that the product of countable many locally compact topological groups and complete metrizable nuclear groups are BB-strongly reflexive

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