Extensions of zero-sets in the product of topological spaces

DOI10.1016/0166-8641(90)90118-LzbMath0776.54016MaRDI QIDQ1813682

Haruto Ohta

Publication date: 25 June 1992

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

zbMATH Keywords

metric spaceStone-Čech compactificationrectangular product\(z\)-embedding\(R\)- spaceweak cb-space

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Product spaces in general topology (54B10) Topology of special sets defined by functions (54C50)

Related Items (6)

Spaces with an Oz Stone-Čech compactification ⋮ A nonstandard approach to realcompactness with applications to the equation \(v(X \times Y) = v(X) \times v(Y)\) ⋮ On the finite-dimensionality of topological products ⋮ Characterizations of normal covers of rectangular products ⋮ Covering dimension of topological products ⋮ Non-\((\omega{},\omega{}_ 1)\)-regular ultrafilters and perfect \(k\)- normality of product spaces

Cites Work

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• On rectangular products of topological spaces
• Local compactness and Hewitt realcompactifications of products. II
• A note on E. Michael's example and rectangular products
• The Dedekind completion of \(C({\mathcal X})\)
• Extensions of zero-sets and of real-valued functions
• Products of normal spaces with metric spaces
• Absolute F σ Spaces
• Čech cohomology and covering dimension for topological spaces
• P-embedding and product spaces
• Local Compactness and Hewitt Realcompactifications of Products
• Spaces in Which Special Sets are z-Embedded
• Generalizations of $M$-spaces, II
• Projections of Zero-Sets (And the Fine Uniformity on a Product)

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