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Weakly pre-\(I\)-open sets and decomposition of continuity - MaRDI portal

Weakly pre-\(I\)-open sets and decomposition of continuity (Q812808)

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scientific article; zbMATH DE number 5001801
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Weakly pre-\(I\)-open sets and decomposition of continuity
scientific article; zbMATH DE number 5001801

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    Weakly pre-\(I\)-open sets and decomposition of continuity (English)
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    26 January 2006
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    The authors consider the notions of weakly pre-\textit{I}-open sets and weakly pre-\textit{I}-continuous functions. They show that a function \(f: X \rightarrow Y\) is continuous if and only if \(f\) is weakly pre-\textit{I}-continuous and strongly \(B_I\)-continuous.
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    ideal topological space
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    weakly pre-\(I\)-open
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    weakly pre-\(I\)-continuous
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