Products of general Menger spaces (Q1725666)

In this well-written paper the authors ``study, in a systematic manner, products of general topological spaces with Menger's covering property, and its refinements based on filters and semifilters.'' They ``apply Dedekind compactifications to extend the projection method from the classic real line topology to the Michael topology.'' Among other results, the authors prove that, assuming the Continuum Hypothesis, every productively Lindelöf space is productively Menger, every productively Menger space is productively Hurewicz and that it is consistent with the Continuum Hypothesis that none of these implications is reversible. The paper ends with several interesting open problems.