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On Hausdorff spaces via ideals and quasi \(I\)-irresolute functions - MaRDI portal

On Hausdorff spaces via ideals and quasi \(I\)-irresolute functions (Q1610455)

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scientific article; zbMATH DE number 1783810
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On Hausdorff spaces via ideals and quasi \(I\)-irresolute functions
scientific article; zbMATH DE number 1783810

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    On Hausdorff spaces via ideals and quasi \(I\)-irresolute functions (English)
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    19 August 2002
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    The author considers the notion of quasi-\(I\)-open sets in a topological space \(X\) (where \(I\) denotes an ideal on \(X\)). Using this notion two new concepts are introduced and investigated, namely quasi-\(I\)-Hausdorffness as a separation axiom, and quasi-\(I\)-irresoluteness as a property of functions between topological spaces both of which are endowed with an ideal.
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    quasi-\(I\)-open sets
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