\(I\)-spaces, nodec spaces and compactifications (Q386194)
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scientific article; zbMATH DE number 6236587
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(I\)-spaces, nodec spaces and compactifications |
scientific article; zbMATH DE number 6236587 |
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\(I\)-spaces, nodec spaces and compactifications (English)
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9 December 2013
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The authors study three related topological spaces: nodec (every nowhere dense subset is closed), submaximal (every subset is an intersection of a closed and an open set), and \(I\) (every nowhere dense subset is closed) via embedding into suitable compactifications. No separation axioms are assumed (unless explicitly stated). Nice characterizations of a space \(X\) the Herrlich compactification of which is nodec, resp. submaximal, resp. \(I\), are given.
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nodec space
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submaximal space
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\(I\)-space
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one point compactification
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Wallman compactification
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Herrlich compactification
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