A survey on reflexivity of abelian topological groups

  title={A survey on reflexivity of abelian topological groups},
  author={M. J. Chasco and D. Dikranjan and E. Martin-peinador},
  journal={Topology and its Applications},
The Pontryagin duality theorem for locally compact abelian groups (briefly, LCA groups) has been the starting point for many different routes of research in Mathematics. From its appearance there was a big interest to extend it in a context broader than LCA groups. Kaplan in the 40ʼs proposed—and it still remains open—the problem of characterization of all abelian topological groups for which the canonical mapping into its bidual is a topological isomorphism, assuming that the dual and the… Expand
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