Small Locally Compact Linearly Lindelof Spaces
Kenneth Kunen

TL;DR
This paper constructs a specific locally compact Hausdorff space of weight aleph_omega that is linearly Lindelof but not Lindelof, improving previous results on the subject.
Contribution
It presents a new example of a locally compact space with a smaller weight that is linearly Lindelof but not Lindelof, refining earlier constructions.
Findings
Constructed a space of weight aleph_omega with the desired properties.
Improved the known bounds from beth_omega to aleph_omega.
Demonstrated the existence of such a space within the specified conditions.
Abstract
There is a locally compact Hausdorff space of weight aleph_omega which is linearly Lindelof and not Lindelof. This improves an earlier result, which produced such a space of weight beth_omega.
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Taxonomy
TopicsRings, Modules, and Algebras · Advanced Topology and Set Theory · Advanced Algebra and Logic
