Countably metacompact spaces in the constructible universe
Fundamenta Mathematicae, Tome 143 (1993) no. 3, pp. 221-230.

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We present a construction from ♢* of a first countable, regular, countably metacompact space with a closed discrete subspace that is not a $G_δ$. In addition some nonperfect spaces with σ-disjoint bases are constructed.
DOI : 10.4064/fm-143-3-221-230
Keywords: countably metacompact, $G_δ$, ♢*

Paul J. Szeptycki 1

1 Department of Mathematics University of Toronto Toronto, Ontario Canada M5S 2M3
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Paul J. Szeptycki. Countably metacompact spaces in the constructible universe. Fundamenta Mathematicae, Tome 143 (1993) no. 3, pp. 221-230. doi : 10.4064/fm-143-3-221-230. http://geodesic.mathdoc.fr/articles/10.4064/fm-143-3-221-230/

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