A characterization for paracompactness (Q752529)
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scientific article; zbMATH DE number 4178090
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization for paracompactness |
scientific article; zbMATH DE number 4178090 |
Statements
A characterization for paracompactness (English)
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1989
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The authors introduce the notion of B(P,\(\lambda\))-refinability and use this idea to obtain characterizations for paracompact, subparacompact, metacompact, \(\theta\)-refinable, collectionwise normal, collectionwise subnormal and strong-collectionwise subnormal spaces [ibid. 65, No 7, 245-248, 249-252 (1989; Zbl 0702.54015, Zbl 0702.54016)]. In this paper more general results are obtained in this class of spaces. The properties P considered here are discreteness (D) and local finiteness (LF).
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subparacompactness
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metacompactness
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\(\theta \) -refinability
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B(P,\(\lambda \) )-refinability
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strong-collectionwise subnormal spaces
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