F-n-resolvable spaces and compactifications

Abstract

A topological space is said to be resolvable if it is a union of two disjoint dense subsets. More generally it is called n-resolvable if it is a union of n pairwise disjoint dense subsets. In this paper, we characterize topological spaces such that their reflections (resp., compactifications) are n-resolvable (resp., exactly-n-resolvable, strongly-exactly-n-resolvable), for some particular cases of reflections and compactifications.

Keywords

• categories
• functors
• resolvable spaces
• compactifications.