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Resumen de Spaces with an M-diagonal

David Guerrero Sánchez

  • Abstract In this note we prove that if X is a Tychonoff space and X2\ is dominated by a second countable space then X is cosmic. This solves an open problem of Cascales et al. (Topol Appl 158:204–214). We also consider the case when X is compact and X2\ is dominated by a metric space M; in this situation we show that if such domination is strong, then the tightness of X is bounded by the weight of M

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