New bounds on the cardinality of n-Hausdorff and n-Urysohn spaces

• Maddalena Bonanzinga ^[1] ; Nathan Carlson ^[2] ; Davide Giacopello ^[1]
  1. [1] University of Messina

     University of Messina

     Mesina, Italia

     
  2. [2] California Lutheran University

     California Lutheran University

     Estados Unidos

     
• Localización: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas ( RACSAM ), ISSN-e 1578-7303, Vol. 118, Nº. 4, 2024
• Idioma: inglés
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• Resumen

  • Two new cardinal functions defined in the class of n-Hausdorff and n-Urysohn spaces that extend pseudocharacter and closed pseudocharacter respectively are introduced. Through these new functions bounds on the cardinality of n-Urysohn spaces that represent variations of known results are given. Also properties of n-Urysohn n-H-closed spaces are proved.