F-n-resolvable spaces and compactifications
DOI:
https://doi.org/10.4995/agt.2019.10036Keywords:
categories, functors, resolvable spaces, compactificationsAbstract
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.
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