REAL COMPACTIFICATIONS THROUGH ZERO-SET SPACES

DOI10.1080/16073606.1983.9632293zbMath0521.54012OpenAlexW2021871271MaRDI QIDQ3670149

Christopher Gilmour

Publication date: 1983

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1983.9632293

zbMATH Keywords

coreflectionAlexandroff basescategory of Alexandroff spaces and coz-mapsepi-reflectionsrealcompact-fine Alexandroff spacerealcompactness and realcompactification of Alexandroff spacesWallman realcompactificationszero-sets of continuous functions of Tikhonov spaces

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Categorical methods in general topology (54B30) Realcompactness and realcompactification (54D60) Topology of special sets defined by functions (54C50)

Related Items

Realcompact Alexandroff frames ⋮ Realcompact spaces and regular σ -frames

Cites Work

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• Some Nearly Fine Uniform Spaces
• Compactifications and Semi-Normal Spaces
• On Inverse-Closed Subalgebras of C (X )^†
• ℒ-Realcompactifications and Normal Bases