Paracompactness in normal, locally connected, rim-compact spaces (Q1064567)
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scientific article; zbMATH DE number 3919323
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Paracompactness in normal, locally connected, rim-compact spaces |
scientific article; zbMATH DE number 3919323 |
Statements
Paracompactness in normal, locally connected, rim-compact spaces (English)
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1986
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We prove that a locally conncted, rim-Lindelöf, submeta Lindelöf, normal, \(\leq \omega_ 2\)-collectionwise \(T_ 2\)-space is paracompact. Further, if ''Lindelöf'' is replaced by ''compact'',then \(''\leq \omega_ 2\)-collectionwise \(T_ 2''\) can be omitted.
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normal, locally connected, rim-compact spaces
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locally connected rim- compact submetacompact normal space
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locally conncted, rim-Lindelöf, submeta Lindelöf, normal, \(\leq \omega _ 2\)-collectionwise \(T_ 2\)- space
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