Generic theorems in the theory of cardinal invariants of topological spaces

[EN] 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∗, introduced by Bonanzinga in [Houston J. Math. 3...

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Detalles Bibliográficos
Autores: Ramírez-Páramo, Alejandro, Tenorio, Jesús F.
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/118971
Acceso en línea:https://riunet.upv.es/handle/10251/118971
Access Level:acceso abierto
Palabra clave:Cardinal functions
Compact spaces
Lindelöf spaces
Weak Hausdorff number of a space
Descripción
Sumario:[EN] 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∗, introduced by Bonanzinga in [Houston J. Math. 39 (3) (2013), 1013–1030], to generalize some upper bounds on the cardinality of topological spaces.