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Locally compact linearly Lindelöf spaces. (English) Zbl 1090.54019

Summary: There is a locally compact Hausdorff space which is linearly Lindelöf and not Lindelöf. This answers a question of A. V. Arhangel’skii and R. Z. Buzyakova.

MSC:

54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
54D80 Special constructions of topological spaces (spaces of ultrafilters, etc.)
03C20 Ultraproducts and related constructions
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