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On relatively almost Lindelöf subsets

A subspace Y of a space X is almost Lindelöf (strongly almost Lindelöf) in X if for every open cover U of X (of Y by open subsets V of X), there exists a countable subset V of U such that Y ⊆ S {V : V ∈ V }. In this paper we investigate the relationships between relatively almost Lindelöf subset and relatively strongly almost Lindelöf subset by giving some examples, and also study various properti…