Abstract
A topological space $X$ is $\omega$-jointly metrizable if for every
countable collection of metrizable subspaces of $X$, there exists a metric on
$X$ which metrizes every member of this collection. Although the Sorgenfrey line
is not jointly partially metrizable, we prove that it is $\omega$-jointly
metrizable.
¶ We show that if $X$ is a regular first countable $T_{1}$-space such that $X$ is
the union of two subspaces one of which is separable and metrizable, and the
other is closed and discrete, then $X$ is $\omega$-jointly metrizable.