How weak is weak extent?

Mikhail Matveev

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How weak is weak extent?

Mikhail Matveev

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Abstract

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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Mikhail Matveev. 2000-06-26. How weak is weak extent?. https://arxiv.org/abs/math/0006198

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