On relatively weakly almost Lindelöf subsets

Summary

A subset Y of a space X is weakly almost Lindelöf 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  Lindelöf subsets and relatively almost  Lindelöf subsets, and also study various properties of relatively weakly almost  Lindelöf subsets.