How weak is weak extent?

Mathematics – General Topology

Scientific paper

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Scientific paper

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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