The free locally convex space $L(\mathbf{s})$ over a convergent sequence $\mathbf{s}$ is not a Mackey space
General Topology
2017-10-06 v1
Abstract
We show that the free locally convex space over a convergent sequence is not a Mackey space. Consequently is not a Mackey group that answers negatively a question posed in [4].
Keywords
Cite
@article{arxiv.1710.01759,
title = {The free locally convex space $L(\mathbf{s})$ over a convergent sequence $\mathbf{s}$ is not a Mackey space},
author = {Saak Gabriyelyan},
journal= {arXiv preprint arXiv:1710.01759},
year = {2017}
}