Largest and smallest T2-compactifications of lattice-valued convergence spaces (Q419011)
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scientific article; zbMATH DE number 6036159
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Largest and smallest T2-compactifications of lattice-valued convergence spaces |
scientific article; zbMATH DE number 6036159 |
Statements
Largest and smallest T2-compactifications of lattice-valued convergence spaces (English)
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18 May 2012
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This paper deals with T2-compactifications of lattice-valued convergence spaces. In the case \(L\) is a frame with the bottom element being a prime, a necessary and sufficient condition is obtained for a stratified \(L\)-generalized convergence space to possess a largest T2-compactification. The relationship between the largest T2-compactifications, lattice-valued Richardson compatifications, and smallest T2-compatifications are also investigated.
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\(L\)-topology
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\(L\)-filter
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\(L\)-convergence space
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compactification
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Richardson compactification
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