Some thoughts on countable Lindelof products

摘要

A space X for which X-omega is Lindelof is called powerfully Lindelof. Extending this term, I call a collection of topological spaces powerfully Lindelof if the product of each of its countable subcollections is Lindelof. In 1971 E. Michael showed (CH) that there is no single such class; here I explore what can be said of them. In doing so, I will focus upon some of the techniques used to prove countable products Lindelof. (C) 2019 Published by Elsevier B.V.