English

How weak is weak extent?

General Topology 2007-05-23 v1

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.

Cite

@article{arxiv.math/0006198,
  title  = {How weak is weak extent?},
  author = {Mikhail Matveev},
  journal= {arXiv preprint arXiv:math/0006198},
  year   = {2007}
}