Definition:Quasiuniformizable Space

Definition
Let $T = \left({S, \tau}\right)$ be a topological space.

Then $T$ is quasiuniformizable if there exists a quasiuniformity $\mathcal U$ on $S$ such that $\left({\left({S, \mathcal U}\right), \tau}\right)$ is a quasiuniform space.

Also see

 * Topological Space is Quasiuniformizable for a demonstration that every topological space is quasiuniformizable.