Unital topology on a unital \(l\)-group (Q2057893)
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scientific article; zbMATH DE number 7439838
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unital topology on a unital \(l\)-group |
scientific article; zbMATH DE number 7439838 |
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Unital topology on a unital \(l\)-group (English)
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7 December 2021
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In this paper, the authors mainly discuss some basic properties of the unital topology on a lattice ordered group with order unit. First, they give a characterization of a mass group; then they prove that for an Archimedean Riesz space \(G\) with order unit \(u\), the unital topology and the strong link topology are the same. Finally, they show that, for any unital \(l\)-group \(G\), if the sequentially order convergence and the unital topology convergence are identical then the order convergence is stable.
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lattice group
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order unit
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locally solid topology
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norm topology
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order convergence
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link topology
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stability of convergence.
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