A characterization of free locally convex spaces over metrizable spaces which have countable tightness

Abstract

We prove that the free locally convex space $L(X)$ over a metrizable space $X$ has countable tightness if and only if $X$ is separable.

Cited by in corpus (2)

• On the Ascoli property for locally convex spaces and topological groups
• The $k$-property and countable tightness of free topological vector spaces