On some questions on selectively highly divergent spaces

• Bella, Angelo ^[1] ; Spadaro, Santi ^[2]
  1. [1] University of Catania

     University of Catania

     Catania, Italia

     
  2. [2] Università di Palermo
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 25, Nº. 1, 2024, págs. 41-46
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • A topological space X is selectively highly divergent (SHD) if for every sequence of non-empty open sets { Un : n ∈ ω } of X, we can find xn ∈ Un such that the sequence {xn : n ∈ ω } has no convergent subsequences. In this note we answer two questions related to this notion asked by Jiménez-Flores, Ríos-Herrejón, Rojas-Sánchez and Tovar-Acosta.