Let (X,$\mathcal{U}$) be a quasi-umform space, Y $\supset$ X, $\mathcal{T}$
a topology on Y. An extension compatible with ($\mathcal{U}$,$\mathcal{T}$)
is a quasiuniformity $\mathcal{W}$ on Y such that the restriction
$\mathcal{W}\mid$ X of $\mathcal{W}$ to X coincides with $\mathcal{U}$
and the topology $\mathcal{W}^{tp}$ induced by $\mathcal{W}$ equals
$\mathcal{T}$. The paper $\left[1\right]$ contains a construction
of such extensions. The purpose of the present paper is to give some
applications of the result in $\left[1\right]$. Without explicit
mention of the contrary, we shall use the terminology and notation
of $\left[2\right]$.
