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  • 1 Department of Mathematics, Nanjing Normal University, Nanjing, 210097, P.R. China Nanjing, 210097, P.R. China
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A subset Y of a space X is weakly almost Lindelf in X if for every open cover U of X, there exists a countable subfamily  V of  U such that Y ⊆ comp (∩V ). We investigate the relationship between relatively weakly almost  Lindelf subsets and relatively almost  Lindelf subsets, and also study various properties of relatively weakly almost  Lindelf subsets.