Abstract
We study the cardinalities of countably compact, locally countableT 3 spaces. For alln(<ω), there exists one of cardinalityω n . IfV=L, then there exists one of cardinalityx iffx=ω orx ω=x. MA implies that there exists one of cardinality>2ω.
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Juhász, I., Nagy, Z. & Weiss, W. On countably compact, locally countable spaces. Period Math Hung 10, 193–206 (1979). https://doi.org/10.1007/BF02025892
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DOI: https://doi.org/10.1007/BF02025892