Weakly linearly Lindelöf monotonically normal spaces are Lindelöf

I. Juhász, V. V. Tkachuk, R. G. Wilson

We call a space $X$ {\it weakly linearly Lindelöf} if for any family $\mathcal{U}$ of non-empty open subsets of $X$ of regular uncountable cardinality $\kappa$, there exists a point $x\…