Compactifications determined by subsets of C*(X)

DOI10.1016/0166-8641(82)90002-5zbMath0464.54023OpenAlexW4210481036MaRDI QIDQ1154148

Shoji Yokura, B. J. Ball

Publication date: 1982

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(82)90002-5

zbMATH Keywords

weightC*(X)determination of compactificationextension of real maps

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Extension of maps (54C20) Real-valued functions in general topology (54C30)

Related Items (11)

Subsets of \(C^*(X)\) generating compactifications ⋮ Weight of a compactification and generating sets of functions ⋮ Rings and sheaves ⋮ Compactifications, \(A\)-compactifications and proximities ⋮ An internal characterization of sets of functions determining minimal compactifications ⋮ How many miles to \(\beta X\)? -- \(\sigma\) miles, or just one foot ⋮ Compactifications determined by subsets of C*(X). II ⋮ Compactness and compactifications in generalized topology ⋮ The cone metric of a Busemann space ⋮ How many miles to \(\beta \omega\)? -- Approximating \(\beta \omega\) by metric-dependent compactifications ⋮ An embedding theorem and its consequences

Cites Work

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• Further results on E-compact spaces. I
• A Minimal Compactification for Extending Continuous Functions
• Some Characterizations of the Freudenthal Compactification of a Semicompact Space
• Compactifications of Hausdorff Spaces
• The Compactifications to Which an Element of C ∗ (X) Extends
• Concerning the Decomposition and Amalgamation of Points, Upper Semi-Continuous Collections, and Topological Extensions

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