A locally quasi-convex abelian group without a mackey group topology

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Abstract

We give the first example of a locally quasi-convex (even countable reflexive and kω) abelian group G which does not admit the strongest compatible locally quasi-convex group topology. Our group G is the Graev free abelian group AG (s) over a convergent sequence s.

Original languageEnglish
Pages (from-to)3627-3632
Number of pages6
JournalProceedings of the American Mathematical Society
Volume146
Issue number8
DOIs
StatePublished - 1 Jan 2018

Keywords

  • Mackey group topology
  • The Graev free abelian topological group

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