Ercan, Zafer2021-06-232021-06-2320130146-4124https://hdl.handle.net/20.500.12491/4882https://topology.nipissingu.ca/tp/reprints/v41/We give a more elementary proof of the main statement of the proof of the main result in [8]. Following the idea of [8], we re-prove a result of Luxemburg and Zaanen, that is, an Archimedean Riesz space is Dedekind complete if and only if it is uniformly complete and has the band projection propertyeninfo:eu-repo/semantics/closedAccessBand Projection PropertyDedekind Complete Riesz SpaceExtremally Discconected SpaceUniformly Complete Riesz SpacesA note on the main inclusion theorem of Luxemburg and ZaanenArticle412672702-s2.0-84876899851N/A