Convergence of sequences in generalized topological spaces via filter

Julio C. Ramos-Fernández; Ennis Rosas; Margot Salas-Brown

doi:10.4134/CKMS.c220251

Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2023; 38(3): 901-911

Online first article July 10, 2023 Printed July 31, 2023

https://doi.org/10.4134/CKMS.c220251

Convergence of sequences in generalized topological spaces via filter

Julio C. Ramos-Fernández, Ennis Rosas, Margot Salas-Brown

Universidad Distrital Francisco Jos'e de Caldas; Universidad de la Costa; Universidad Sergio Arboleda

Abstract

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Abstract

In this paper a generalization of convergent sequences in connection with generalized topologies and filters is given. Additionally, properties such as uniqueness, behavior related to continuous functions are established and notions relative to product spaces.

Keywords: Generalized topological spaces, filters, convergent sequences

MSC numbers: Primary 54A20, 54A05