Spaces with an Oz Stone-Čech compactification

DOI10.1016/0166-8641(90)90037-3zbMath0721.54018OpenAlexW2004951219MaRDI QIDQ2640932

Mary Anne Swardson, Robert L. Blair

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0166-8641(90)90037-3

zbMATH Keywords

Stone-Čech compactificationbarely normal spaceextremely pseudocompact spacemildly normal spaceOz-spacerelatively pseudocompact subspace

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Realcompactness and realcompactification (54D60) Real-valued functions in general topology (54C30) Extremally disconnected spaces, (F)-spaces, etc. (54G05) Topology of special sets defined by functions (54C50)

Related Items (11)

On \(C_ \alpha\)-compact subsets ⋮ A nonstandard approach to realcompactness with applications to the equation \(v(X \times Y) = v(X) \times v(Y)\) ⋮ The partially ordered set of one-point extensions ⋮ Compactifications and quotient lattices of Wallman bases ⋮ Ideal spaces ⋮ A NOTE ON RELATIVE PSEUDOCOMPACTNESS IN THE CATEGORY OF FRAMES ⋮ Nearly realcompact spaces ⋮ A Lindelöfication ⋮ More on locales in which every open sublocale is \(z\)-embedded ⋮ Bounded Subsets of Tychonoff Spaces: A Survey of Results and Problems ⋮ Results about \(\kappa\)-normality

Cites Work

• On spaces whose Stone-Cech compactification is Oz
• On a generalization of perfectly normal spaces
• Extensions of zero-sets in the product of topological spaces
• Mappings and spaces
• Stone-Čech compactification of a product
• Mappings and realcompact spaces
• Real functions and near-normal spaces
• Extensions of zero-sets and of real-valued functions
• On countably paracompact spaces
• A Note on Spaces in which Every Open Set is z-Embedded
• On closed countably-compactifications
• Spaces in Which Special Sets are z-Embedded
• The Character of Certain Closed Sets
• Some questions in the theory of bicompactifications
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