On removing one point from a compact space
classification
🧮 math.GN
keywords
compactdiscretelyspacestar-lindelofthencardinalityeveryexamples
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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.
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