### A note on transitively $D$-spaces

In this note, we show that if for any transitive neighborhood assignment $\phi $ for $X$ there is a point-countable refinement $\mathcal{F}$ such that for any non-closed subset $A$ of $X$ there is some $V\in \mathcal{F}$ such that $|V\cap A|\ge \omega $, then $X$ is transitively $D$. As a corollary, if $X$ is a sequential space and has a point-countable $wc{s}^{*}$-network then $X$ is transitively $D$, and hence if $X$ is a Hausdorff $k$-space and has a point-countable $k$-network, then $X$ is transitively $D$. We prove that if $X$ is a countably compact sequential space and has a point-countable...