Feebly compact and locally feebly compact \(R_ 1\) spaces and feeble one- point compactification spaces (Q1099430)
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scientific article; zbMATH DE number 4040807
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Feebly compact and locally feebly compact \(R_ 1\) spaces and feeble one- point compactification spaces |
scientific article; zbMATH DE number 4040807 |
Statements
Feebly compact and locally feebly compact \(R_ 1\) spaces and feeble one- point compactification spaces (English)
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1986
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This paper is mainly concerned with the feebly induced topology of a topological space (X,T) and generalized separation axioms such as \(semi\)- T\({}_ i\) \((i=0,1,2)\) and \(R_ i\) \((i=0,1)\). The author obtains complete characterization of feebly compact and locally feebly compact \(R_ 1\) spaces and further necessary and sufficient conditions for the feeble one-point compactification space to be \(R_ 1\).
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s-essentially \(T_ 2\) spaces
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locally feebly compact \(R_ 1\) spaces
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feeble one-point compactification
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