\(T_ 1\)-closed spaces (Q1067241)

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scientific article; zbMATH DE number 3927875
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English
\(T_ 1\)-closed spaces
scientific article; zbMATH DE number 3927875

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    \(T_ 1\)-closed spaces (English)
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    1985
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    \(T_ 1\)-closed and \(T_ 1\)-closable spaces are introduced and investigated. A space X is \(T_ 1\)-closed iff X has no proper \(T_ 1\)- reduced extension. A space is \(T_ 1\)-closable iff it has a \(T_ 1\)- closed extension. \(T_ 1\)-closed spaces are characterized and properties of \(T_ 1\)-closed spaces and of \(T_ 1\)-closed extensions of spaces are investigated.
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    \(T_ 1\)-closed extension
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    \(T_ 1\)-closed spaces
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