Extensions of continuous functions: reflective functors

DOI10.1017/S0004972700013435zbMath0603.54013MaRDI QIDQ3739851

Worthen Hunsaker, Somashekhar Amr Naimpally

Publication date: 1987

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

epireflective subcategorycoversfiltersH-closed spacesminimal Hausdorff spacessimple extensionsstrict extensions\(\alpha \)- closed spaces\(\lambda \)-map

Mathematics Subject Classification ID

``(P)-minimal and ``(P)-closed spaces (54D25) Categorical methods in general topology (54B30) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Realcompactness and realcompactification (54D60) Extension of maps (54C20)

Related Items (2)

Remarks on Banaschewski-Fomin-Shanin extensions ⋮ In memoriam: Somashekhar Naimpally (1931--2014).

Cites Work

• Über Hausdorffsch-minimale Erweiterung von Räumen
• Completion of merotopic spaces and extension of uniform continuous maps
• Quasi-regular nearness spaces and extensions of nearness-preserving maps
• \(H\)-closed spaces and reflective subcategories
• Katětov extension as a functor
• Extensions of topological spaces
• Hausdorff Compactifications as Epireflections
• Wallman t1 -compactifications as epireflections
• A concept of nearness
• On the extendibility of continuous functions
• 𝐻-closed topological spaces
• The α-Closure αX of a Topological Space X
• Categorical topology
• The Wallman compactification as a functor
• The Wallman Compactification is an Epireflection
• Extensions of Topological Spaces

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