Meta-Lindelof countably compact spaces
Dan Ma
It is well know that countably compactness plus a covering property means that the space is compact. For example, it follows from definitions that any Lindelof countably compact space is compact. Because every locally finite collection of sets in a countably compact space is finite (see Theorem 3 found here), paracompact + countably compact implies compact. Furthermore, any metacompact countably compact space is compact.
We improve Theorem 1 by showing that any meta-Lindelof countably compact...
