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On the non-existence of the Mackey topology for locally quasi-convex groups

  • Lydia Außenhofer EMAIL logo
Published/Copyright: February 8, 2018

Abstract

We give a self-contained proof that the Graev free abelian group over a convergent sequence has no Mackey topology. This means the supremum of all locally quasi-convex compatible topologies of this group is no longer compatible.


Communicated by Karl-Hermann Neeb


Acknowledgements

I wish to thank S. Gabriyelyan for calling my attention to [15, Question (4.4)]. I am deeply indebted to D. Dikranjan for helpful comments concerning the exposition of this note.

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Received: 2017-08-25
Revised: 2018-01-15
Published Online: 2018-02-08
Published in Print: 2018-09-01

© 2018 Walter de Gruyter GmbH, Berlin/Boston

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