Real Algebraic and Analytic Geometry

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208. Michael Barr, John F. Kennison, Robert Raphael:
On productively Lindelöf spaces.

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Submission: 2006, December 12.

We study conditions on a topological space that guarantee that its product with every Lindelöf space is Lindelöf. The main tool is a condition discovered by K. Alster and we call spaces satisfying his condition Alster spaces. We also study some variations on scattered spaces that are relevant for this question.

Mathematics Subject Classification (2000): 54D20, 54B10, 54G12.

Keywords and Phrases: productively Lindelöf, Alster space.

Full text, 14p.: dvi 79k, ps.gz 173k, pdf 229k.

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