On removing one point from a compact space

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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.
10 pages

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General Topology, 54D20, 54B10, 54A25, 54D30

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http://salesiana.dossiersoluciones.com/handle/123456789/74915

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504325
 http://arxiv.org/abs/math/0504325
 Houston J. Math. 30 (2004), no. 4, 1115--1126

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arXiv