Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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CONVERGENCE OF SEQUENCES IN GENERALIZED TOPOLOGICAL SPACES VIA FILTER

  • Julio C. Ramos-Fernandez (Facultad de Ciencias Matematicas y Naturales Universidad Distrital Francisco Jose de Caldas) ;
  • Ennis Rosas (Departamento de Ciencias Naturales y Exactas Universidad de la Costa) ;
  • Margot Salas-Brown (Programa de Matematicas Escuela de Ciencias Exactas e Ingenieria Universidad Sergio Arboleda)
  • Received : 2022.08.21
  • Accepted : 2023.03.30
  • Published : 2023.07.31
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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

Acknowledgement

The authors would like to thank the referees for her/his valuable comments and suggestions to improve this paper.

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