Some set-theoretic consistency results in topology
Tall, F. D.
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Displaying similar documents to “The undecidability of the existence of a non-separable normal Moore space satisfying the countable chain condition”
Some set-theoretic consistency results in topology
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For a topological property P, we say that a space X is star Pif for every open cover Uof the space X there exists Y ⊂ X such that St(Y,U) = X and Y has P. We consider star countable and star Lindelöf spaces establishing, among other things, that there exists first countable pseudocompact spaces which are not star Lindelöf. We also describe some classes of spaces in which star countability is equivalent to countable extent and show that a star countable space with a dense σ-compact subspace...
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