Generic theorems in the theory of cardinal invariants of topological spaces

• Autores: Alejandro Ramírez Páramo, Jesús F. Tenorio
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 20, Nº. 1, 2019, págs. 211-222
• Idioma: inglés
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• Resumen

  • The main aim of this paper is to present a technical result, which provides an algorithm to prove several cardinal inequalities and relative versions of cardinal inequalities related. Moreover, we use this result and the weak Hausdorff number, $H^{\ast}$, introduced by Bonanzinga in [Houston J. Math. 39 (3) (2013), 1013-1030], to generalize some upper bounds on the cardinality of topological spaces.