Pseudocompact spaces with a -point-finite base are metrizable
Vladimir Vladimirovich Uspenskij (1984)
Commentationes Mathematicae Universitatis Carolinae
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Pseudocompact spaces with a -point-finite base are metrizable
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We prove the following statements: (1) every Tychonoff linked-Lindelöf (centered-Lindelöf, star countable) space can be represented as a closed subspace in a Tychonoff pseudocompact absolutely star countable space; (2) every Hausdorff (regular, Tychonoff) linked-Lindelöf space can be represented as a closed G δ-subspace in a Hausdorff (regular, Tychonoff) absolutely star countable space; (3) there exists a pseudocompact absolutely star countable Tychonoff space having a regular closed...