Order-convergence and lim-inf \(\mathcal M\)-convergence in posets (Q854082)
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scientific article; zbMATH DE number 5078955
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Order-convergence and lim-inf \(\mathcal M\)-convergence in posets |
scientific article; zbMATH DE number 5078955 |
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Order-convergence and lim-inf \(\mathcal M\)-convergence in posets (English)
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7 December 2006
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The authors give some elementary sufficient conditions for order convergence to be topological in complete lattices and posets. They also consider a general notion of lim-inf convergence for families of sets \(\mathcal M\) more general than the family of directed sets and again give conditions for this convergence to be topological.
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order convergence
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\(\mathcal M\)-continuous poset
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lim-inf convergence
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