# Arkhangel'skii's definition of cardinal function

I was searching an article written by A. V. Arkhangel'skii called A theorem on Cardinality. I found it but there is a little problem: the article is in Russian. I can't read Russian and I need the definitions in the article. Particularly, the definition of the cardinal function $$\text{qL}$$. Here is the definition

I could guess from my minimal Russian but this paper confirms it, it's the quasi-Lindelöf number of $$X$$: the minimal infinite cardinality $$\tau$$ such that for all closed subsets $$C$$ of $$X$$ and all open covers $$\mathcal{U}$$ of $$C$$ (so that $$C \subseteq \bigcup \mathcal{U}$$) there is a subfamily $$\mathcal{U}' \subseteq \mathcal{U}$$ such that $$|\mathcal{U}'| \le \tau$$ and $$C \subseteq \overline{\bigcup \mathcal{U}'}$$.
(note that Arhangel'skij uses $$[]$$ for closure looking at the formula in the paper).