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arxiv: math/0006198 · v1 · submitted 2000-06-26 · 🧮 math.GN

How weak is weak extent?

classification 🧮 math.GN
keywords extentspacestar-lindelofweakarbitrarylycovereveryfinite
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A space X is star-Lindelof provided for every open cover U there is a finite subset A of X such that St(A,U)=X. We show that a Tychonoff star-Lindelof space can have arbitraryly big extent while the extent of a normal star-Lindelof space can not be greater than c.

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