Separated and prime compactifications

dc.contributor.authorRazafindrakoto, A
dc.date.accessioned2022-08-02T09:02:01Z
dc.date.available2022-08-02T09:02:01Z
dc.date.issued2022
dc.description.abstractWe discuss conditions under which certain compactifications of topological spaces can be obtained by composing the ultrafilter space monad with suitable reflectors. In particular, we show that these compactifications inherit their categorical properties from the ultrafilter space monad. We further observe that various constructions such as the prime open filter monad defined by H. Simmons, the prime closed filter compactification studied by Bentley and Herrlich, as well as the separated completion monad studied by Salbany fall within the same categorical framework.en_US
dc.identifier.citationRazafindrakoto, A. (2022). Separated and prime compactifications. Topology And Its Applications, 309, 107911. doi: 10.1016/j.topol.2021.107911en_US
dc.identifier.urihttps://doi.org/10.1016/j.topol.2021.107911
dc.identifier.urihttp://hdl.handle.net/10566/7653
dc.language.isoenen_US
dc.publisherElsevier BVen_US
dc.subjectCompactificationen_US
dc.subjectMonaden_US
dc.subjectEilenberg-Moore algebrasen_US
dc.subjectReflective subcategoriesen_US
dc.titleSeparated and prime compactificationsen_US
dc.typeArticleen_US

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