Extending the class of known Stone-Čech remainders for \(\psi\)-spaces (Q2347042)

The author extends previous work on Čech-Stone remainders of \(\psi\)-like spaces by establishing the following result. If \(X\)~is completely regular, countably compact and Fréchet with a dense subset \(D\) such that for every \(x\in X\) there is a neighbourhood~\(U_x\) such that \(U_x\cap D\) has cardinality at most~\(\mathfrak{c}\) then there is a maximal almost disjoint family, \(\mathcal{M}\), of countable subsets of \(D\) such that the Čech-Stone remainder of~\(\psi(\mathcal{M})\) is homeomorphic to~\(\beta X\).