  We extend known results of selection principles in $C_p$-theory to the
context of spaces of the form $C_{\mathcal{B}}(X)$, where $\mathcal{B}$ is a
bornology on $X$. Particularly, by using the filter approach of Jordan to
$C_p$-theory, we show that $\gamma$-productive spaces are productive with a
larger class of $\gamma$-like spaces.
