On removing one point from a compact space

Gady Kozma

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arXiv · math/0504325

On removing one point from a compact space

Gady Kozma

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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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Gady Kozma. 2005-04-15. On removing one point from a compact space. https://arxiv.org/abs/math/0504325

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