Lattice-valued continuous convergence is induced by a lattice-valued uniform convergence structure (Q853390)
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scientific article; zbMATH DE number 5073283
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lattice-valued continuous convergence is induced by a lattice-valued uniform convergence structure |
scientific article; zbMATH DE number 5073283 |
Statements
Lattice-valued continuous convergence is induced by a lattice-valued uniform convergence structure (English)
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15 November 2006
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Let \(L\) be a complete Heyting algebra. The author defines a stratified \(L\)-uniform convergence structure on the set of all continuous functions from a stratified \(L\)-limit space to a stratified \(L\)-uniform convergence space. This \(L\)-uniform convergence structure is shown to induce \(L\)-continuous convergence on the function space.
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\(L\)-fuzzy convergence
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\(L\)-filter
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\(L\)-limit space
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\(L\)-uniform convergence space
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function space
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