Strongly exactly n-resolvable spaces of arbitrarily large dispersion character

AbstractA topological space X is called strongly exactly n-resolvable if X is n-resolvable and no nonempty subset of X is (n+1)-resolvable. We prove that, in ZFC, for every infinite cardinal α and every integer n>0, there exist card-homogeneous, strongly exactly n-resolvable Tychonoff spaces of dispersion character α. This result answers affirmatively two questions of F. Eckertson (1997, Questions 2.7 and 4.5)