Paracompactness on \(L\)-fuzzy topological spaces (Q1311847)
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scientific article; zbMATH DE number 487478
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Paracompactness on \(L\)-fuzzy topological spaces |
scientific article; zbMATH DE number 487478 |
Statements
Paracompactness on \(L\)-fuzzy topological spaces (English)
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27 January 1994
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For \(L\) a completely distributive lattice the remote neighbourhood technique introduced by the Chinese school is exploited to obtain a good (Lowen) version of \(L\)-fuzzy paracompactness. This ties up with \(N\)- compactness, being a consequence of it, and a product of a paracompact and an \(N\)-compact space is shown to be paracompact. Such paracompact Hausdorff spaces are both regular and normal.
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fuzzy paracompactness
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\(N\)-compactness
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