Spaces with an M-diagonal

• David Guerrero Sánchez ^[1]
  1. [1] Universidad Autónoma Metropolitana

     Universidad Autónoma Metropolitana

     México

     
• Localización: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas ( RACSAM ), ISSN-e 1578-7303, Vol. 114, Nº. 1, 2020, págs. 500-507
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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