Generic theorems in the theory of cardinal invariants of topological spaces




cardinal functions, compact spaces, Lindelöf spaces, weak Hausdorff number of a space


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.


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Author Biographies

Alejandro Ramírez-Páramo, Benemérita Universidad Autónoma de Puebla

Facultad de Ciencias de la Electrónica

Jesús F. Tenorio, Universidad Tecnológica de la Mixteca

Instituto de Física y Matemáticas


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How to Cite

A. Ramírez-Páramo and J. F. Tenorio, “Generic theorems in the theory of cardinal invariants of topological spaces”, Appl. Gen. Topol., vol. 20, no. 1, pp. 211–222, Apr. 2019.