On (non-Menger) spaces whose closed nowhere dense subsets are Menger

Mathieu Baillif, Santi Spadaro

A space $X$ is od-Menger if it satisfies ${\mathsf{U}}_{\mathsf{fin}}({\Delta }_X,{\mathcal{O}}_X)$, where ${\mathcal{O}}_X,{\Delta }_X$ are the collection of covers of $X$ by respectively open subsets and open…