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

Author:

Außenhofer Lydia1

Affiliation:

1. Universität Passau, Innstr. 33, 94932Passau, Germany

Abstract

AbstractWe 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

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