Separated and prime compactifications
The author finds conditions under which certain compactifications of topological spaces can be obtained by composing the ultrafilter space monad with suitable reflectors. It is also shown that these compactifications inherit their categorical properties from the ultrafilter space monad. He observes that various constructions such as the prime open filter monad defined by \textit{H. Simmons} [Topology Appl. 13, 201--223 (1982; Zbl 0484.18005)], the prime closed filter compactification studied by \textit{H. L. Bentley} and \textit{H. Herrlich} [Quaest. Math. 25, No. 3, 381--396 (2002; Zbl 1036.54007)], as well as the separated completion monad studied by \textit{S. Salbany} [Commentat. Math. Univ. Carol. 23, 301--311 (1982; Zbl 0572.54008)] fall within the same categorical framework.
scientific article; zbMATH DE number 7481214
scientific article