Firstly, the $|R_i-B|<\aleph_{\alpha+1}$ in the fourth last line of page 1 should be $|R_i-B|<\aleph_{\alpha+I}$.
Secondly, the neighbour basis of $a$ and $b$ in page 2 should be $\left\{\cup T_{m} ; m \geq n\right\} \cup\{a\} \subseteq B$ (resp. $\left\{\cup T_{m} ; m \leq n\right\} \cup\{b\} \subseteq B$).
Sorry for recalling your memory of an old answer. But it seems $Q$ is not even Hausdorff because you can't separate $a$ and $b$, right? (Or did I overlook something obvious?) — YuiTo Chengyesterday
Unfortunately, I did not have time to look into it.
But I'll try to check what you wrote here and also correct the translation - at some point.
