Completeness for vector lattices. (English) Zbl 1421.46002
H. Li and Z.-L. Chen proved that a vector lattice \(X\), having the countable \(\sup\) property, is universally complete if it is \(uo\)-complete [Positivity 22, No. 1, 83–90 (2018; Zbl 1397.46002)].
The author shows that this remains true without any assumption on \(X\).
The author shows that this remains true without any assumption on \(X\).
Reviewer: S. S. Kutateladze (Novosibirsk)
MSC:
| 46A40 | Ordered topological linear spaces, vector lattices |
Citations:
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