The Alexandroff one-point compactification as a prototype for extensions

DOI10.1016/j.aim.2012.07.008zbMath1259.54008OpenAlexW2083114374MaRDI QIDQ456772

Maria Cristina Vipera, Gerald A. Beer

Publication date: 16 October 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2012.07.008

zbMATH Keywords

metric completionbornological extensionextension of a topological space, idealWallman extension

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Bornologies and related structures; Mackey convergence, etc. (46A17)

Related Items (1)

Partially ordered set of zero-dimensional one-point extensions of a topological space

Cites Work

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• Embeddings of bornological universes
• Total boundedness and bornologies
• Bornological convergences
• Boundedness in a topological space
• Normal Systems of Sets
• Uniformizable and realcompact bornological universes
• Compactifications and Semi-Normal Spaces
• Boundedness, one-point extensions and B-extensions
• Extensions of Topological Spaces
• Applications of the Theory of Boolean Rings to General Topology
• On Wallman-type compactifications

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