Linear topology

In algebra, a linear topology on a left

that is invariant under translations and admits a fundamental system of neighborhood of

The notion is used more commonly in algebra than in analysis.

Indeed, "[t]opological vector spaces with linear topology form a natural class of topological vector spaces over discrete fields, analogous to the class of locally convex topological vector spaces over the normed fields of real or complex numbers in functional analysis.

"[2] The term "linear topology" goes back to Lefschetz' work.