Rapid ultrafilter need not be Q-point Bukovský, L.; Copláková, E. — 1982 Proceedings of the 10th Winter School on Abstract Analysis
The dimension of remainders of rim-compact spaces J. Aarts; E. Coplakova — 1993 Fundamenta Mathematicae Answering a question of Isbell we show that there exists a rim-compact space X such that every compactification Y of X has dim(Y)≥ 1.