Abstract
Recently Mrowka [7] defined nearly-Lindelof spaces (see Definition 2.1) and asked the following question: Is every nearly-Lindelof space a Lindelof space? We will answer this question positively (see Corollary 2.5). However we will first prove some results concerning the related concepts of [a, b]-compactness (see Definitions 3.1 and 3.2) of topological spaces, from which the answer to Mrowka’s question will immediately follow.
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