English

On the Mackey problem for free locally convex spaces

General Topology 2018-03-13 v3 Functional Analysis

Abstract

We show that the free locally convex space L(X)L(X) over a Tychonoff space XX is a Mackey group iff L(X)L(X) is a Mackey space iff XX is discrete.

Keywords

Cite

@article{arxiv.1803.00334,
  title  = {On the Mackey problem for free locally convex spaces},
  author = {Saak Gabriyelyan},
  journal= {arXiv preprint arXiv:1803.00334},
  year   = {2018}
}
R2 v1 2026-06-23T00:38:01.531Z