Deng, YangDe Jeu, Marcel2022-08-042022-01Deng, Y. & De Jeu, M. 2022, 'Vector lattices with a Hausdorff uo-Lebesgue topology', Journal of Mathematical Analysis and Applications, vol. 505, no.1, art. 125455, pp. 1-30, doi : 10.1016/j.jmaa.2021.125455.0022-247X (print)1096-0813 (online)10.1016/j.jmaa.2021.125455https://repository.up.ac.za/handle/2263/86697Please read abstract in the article.en© 2021 published by Elsevier Inc. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Journal of Mathematical Analysis and Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. A definitive version was subsequently published in Journal of Mathematical Analysis and Applications, vol. 505, no.1, art. 125455, pp. 1-30, 2022. doi : 10.1016/j.jmaa.2021.125455.Vector latticeBanach latticeUnbounded order convergenceLebesgue topologyUo-Lebesgue topologyPostprint Article