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On a technical lemma in lattice ordered groups. (English) Zbl 0558.06019

The article presents an alternate proof of a technical lemma concerning monotonically decreasing sequences in \(\sigma\)-complete lattice ordered groups. The lemma, due to D. H. Fremlin, is used in the proof of the Matthews-Wright vector lattice valued measure extension theorem.
Reviewer: G.P.Barker

MSC:

06F15 Ordered groups
28B15 Set functions, measures and integrals with values in ordered spaces
28B05 Vector-valued set functions, measures and integrals
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