2009
DOI: 10.1007/s11425-009-0098-3
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The C-topology on lattice-ordered groups

Abstract: Let A be a lattice-ordered group. Gusić showed that A can be equipped with a C-topology which makes A into a topological group. We give a generalization of Gusić's theorem, and reveal the very nature of a "C-group" of Gusić in this paper. Moreover, we show that the C-topological groups are topological lattice-ordered groups, and prove that every archimedean lattice-ordered vector space is a T2 topological lattice-ordered vector space under the C-topology. An easy example shows that a C-group need not be T2. A … Show more

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Cited by 10 publications
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