Abstract
Veksler and Geiler (Sibirsk Mat Z 13:43–51, 1972) proved that any Archimedean Riesz space is Dedekind complete if and only if it is boundedly laterally complete and uniformly complete. We give a direct proof of this result, following Bernau’s (J Lond Math Soc (2) 12(3):320–322, 1975/1976) paper.
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