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Almost Lindelöf and locally Lindelöf spaces. (English. Russian original) Zbl 0666.54014

Sov. Math. 32, No. 2, 84-88 (1988); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1988, No. 2(309), 60-63 (1988).
The author proves that the class of factorization spaces, which the author introduced in an earlier paper, coincides with the class of almost Lindelöf spaces of Frolik. A one point Lindelöfication construction is given for locally Lindelöf spaces. This construction is used in one of the several characterizations given of almost Lindelöf spaces. Several sufficient conditions are given for almost Lindelöf spaces to be Lindelöf.
Reviewer: S.W.Davis

MSC:

54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
54D60 Realcompactness and realcompactification
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