KV94 : Abstract
We study the class of topologies which are induced by weighted quasi-merics (equivalently, partial metrics). Partial metrics were introduced by S.Matthews in his study of topological models appropriate for the denotational semantics of programming languages.

It follows from out results that each T0 space with a sigma-disjoint base admits a weightable quasi-metric. and that each weightable quasi-metric is quasi-developable. Those partially order sets whose Alexandrov topology admits a weightable quasi-metric are characterised. We also show that the Pixley-Roy space over the reals does not admit a weightable quasi-metric.