Theory of granular lattices and its applications (Q1569964)
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scientific article; zbMATH DE number 1471205
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Theory of granular lattices and its applications |
scientific article; zbMATH DE number 1471205 |
Statements
Theory of granular lattices and its applications (English)
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26 December 2000
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The author introduces granular lattices and proves the following theorem: A topological space \(X\) is locally connected if and only if the lattice \(\Omega(X)\) of all open subsets of \(X\) is a granular lattice. Moreover, the concept of continuity of abstract semantics is discussed on certain granular lattices and the result is proved that the semantics is compact if it is continuous.
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component
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locally connected space
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compactness
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granular lattice
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continuity
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abstract semantics
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