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On omitting cardinals in T_3 spaces

Saharon Shelah
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Abstract

We prove that for every (infinite cardinal) lambda there is a T_3-space X with clopen basis, 2^mu points where mu = 2^lambda, such that every closed subspace of cardinality <|X| has cardinality < lambda .

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BibTeXRIS

Saharon Shelah. 2007-02-10. On omitting cardinals in T_3 spaces. https://arxiv.org/abs/math/9811177

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