Unital topology on a unital \(l\)-group
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.
scientific article; zbMATH DE number 7439838
scientific article