Separated and prime compactifications
type: Item
instance of: scholarly article
title: Separated and prime compactifications
published in: Topology and its Applications
publication date: 2022-02-25T00:00:00Z
review text: 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.
reviewed by: Minani Iragi
Mathematics Subject Classification ID: 54B30
Mathematics Subject Classification ID: 06B35
Mathematics Subject Classification ID: 06D22
Mathematics Subject Classification ID: 06F30
Mathematics Subject Classification ID: 18B35
Mathematics Subject Classification ID: 18C15
zbMATH DE Number: 7481214
zbMATH Keywords: compactification
zbMATH Keywords: monad
zbMATH Keywords: Eilenberg-Moore algebras
zbMATH Keywords: reflective subcategories
author: Ando Razafindrakoto
Wikidata QID: Q114128030
MaRDI profile type: Publication
full work available at URL: j.topol.2021.107911
OpenAlex ID: W3213139402
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DOI: 10.1016/J.TOPOL.2021.107911
description: scientific article; zbMATH DE number 7481214