κ-Lindelöf κ-stratifiable spaces are κ-metrizable

A (locally) κ-Lindelöf κ-stratifiable space is shown to be κ-metrizable. Since the (local) κ-Lindelöf property is a weaker condition than compactness, the result generalizes Cederʹs and Vaughanʹs theorems that compact stratifiable and compact linearly stratifiable spaces are metrizable.