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On a generalisation of \(k_ R\) spaces - MaRDI portal

On a generalisation of \(k_ R\) spaces (Q1316437)

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scientific article; zbMATH DE number 515496
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On a generalisation of \(k_ R\) spaces
scientific article; zbMATH DE number 515496

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    On a generalisation of \(k_ R\) spaces (English)
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    12 April 1994
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    The authors' summary: We define an \(l_ R\)-space by replacing the compact set by a Lindelöf set in the definition of a \(k_ R\)-space and establish its existence by a number of examples. Then we study the different properties of this new space. We also pose the problem, ``Does there exist an \(l_ R\)-space which is not an \(l\)-space?''.
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    \(l_ R\)-space
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    \(k_ R\)-space
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    \(l\)-space
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