Constructing Banaschewski compactification without Dedekind completeness axiom

DOI10.1155/S0161171204305168zbMath1079.54013WikidataQ114008421 ScholiaQ114008421MaRDI QIDQ1777896

K. C. Chattopadhyay, Partha Pratim Ghosh, Sudip Kumar Acharyya

Publication date: 25 May 2005

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/52018

zbMATH Keywords

hull-kernel topologystructure spaceBanaschewski compactificationHausdorff compactificationcomplete \(F\)-regularityring of ordered field-valued continuous functions

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80) Ordered rings, algebras, modules (06F25) Ordered fields (12J15)

Related Items (4)

Ordered field valued continuous functions with countable range ⋮ Intermediate rings of a class of ordered field valued continuous functions ⋮ Characterization of \(F\)-pseudocompactness of a topological space \(X\) via \(u\)-topology, (\(m\)-topology and \(r\)-topology on \(C(X, F)\) ⋮ A generalized version of the rings $C_K(X)$ and $C_\infty(X)$ - an enquery about when they become Noetherian

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