English

On removing one point from a compact space

General Topology 2007-05-23 v1

Abstract

If B is a compact space and B\{pt} is Lindelof then B^k\{pt} is star-Linedlof for every cardinality k. If B\{pt} is compact then B^k\{pt} is discretely star-Lindelof. In particular, this gives new examples of Tychonoff discretely star-Lindelof spaces with unlimited extent.

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Cite

@article{arxiv.math/0504325,
  title  = {On removing one point from a compact space},
  author = {Gady Kozma},
  journal= {arXiv preprint arXiv:math/0504325},
  year   = {2007}
}

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10 pages