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Dimension of infinite topological products - MaRDI portal

Dimension of infinite topological products (Q1851522)

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scientific article; zbMATH DE number 1851298
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Dimension of infinite topological products
scientific article; zbMATH DE number 1851298

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    Dimension of infinite topological products (English)
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    8 January 2003
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    In the paper it is proved that the topological product \(\prod\{X_\alpha\: \alpha\in A\}\) is rectangular, if \(X_\alpha\) is a perfect pre-image of the paracompact \(\Sigma\)-space \(Y_\alpha\), \(\alpha\in A\), and every finite subproduct of the product \(\prod\{X_\alpha\: \alpha\in A\}\) possesses a countable closeness.
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    infinite topological product
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    dimension
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