  Each continuous weak selection for a space $X$ defines a coarser topology on
$X$, called a selection topology. Spaces whose topology is determined by a
collection of such selection topologies are called continuous weak selection
spaces. For such spaces, Garc\'{\i}a-Ferreira, Miyazaki, Nogura and Tomita
considered the minimal number $\text{cws}(X)$ of selection topologies which
generate the original topology of $X$, and called it the cws-number of $X$. In
this paper, we show that $\text{cws}(X)\leq 2$ for every semi-orderable space
$X$, and that $\text{cws}(X)=2$ precisely when such a space $X$ has two
components and is not orderable. Complementary to this result, we also show
that $\text{cws}(X)=1$ for each suborderable metrizable space $X$ which has at
least 3 components.
