A locally quasi-convex abelian group without Mackey topology

Saak Gabriyelyan

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arXiv · 1708.06107

A locally quasi-convex abelian group without Mackey topology

Saak Gabriyelyan

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Abstract

We give the first example of a locally quasi-convex (even countable reflexive and $k_\omega$) abelian group $G$ which does not admit the strongest compatible locally quasi-convex group topology. Our group $G$ is the Graev free abelian group $A_G(\mathbf{s})$ over a convergent sequence $\mathbf{s}$.

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Saak Gabriyelyan. 2017-08-21. A locally quasi-convex abelian group without Mackey topology. https://arxiv.org/abs/1708.06107

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