Definition:Original Topology

Definition

Let $K$ be a topological field.

Let $\struct {X, \tau}$ be a topological vector space over $K$ with weak topology $w$.

We call $\tau$ the original topology of $X$.

Sources

• 1991: Walter Rudin: Functional Analysis (2nd ed.) ... (previous) ... (next): $3.11$: The weak topology of a topological vector space