Locally compact linearly Lindelöf spaces. (English) Zbl 1090.54019

Kunen, Kenneth

Commentat. Math. Univ. Carol. 43, No. 1, 155-158 (2002).

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

Keywords:

linearly Lindelöf; weak P-point