Realcompact subspaces of size ฯ1
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Mary Anne Swardson
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Article
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2000
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Elsevier Science
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English
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We show that every uncountable compact space has a realcompact subspace of size ฯ 1 , that if there are no S-spaces, then every uncountable Tychonoff space has a realcompact subspace of size ฯ 1 and that Ostazewski's space has no uncountable realcompact subspace.