S-I-convergence of sequences
In this article, we use the notions of a semi-open set and topological ideal, in order to define and study a new variant of the classical concept of convergence of sequences in topological spaces, namely, the S-I-convergence. Some basic properties of S-I-convergent sequences and their preservation un...
- Autores:
-
Guevara, Andrés
Sanabria, José
ROSAS, ENNIS
- Tipo de recurso:
- http://purl.org/coar/resource_type/c_816b
- Fecha de publicación:
- 2020
- Institución:
- Corporación Universidad de la Costa
- Repositorio:
- REDICUC - Repositorio CUC
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.cuc.edu.co:11323/6180
- Acceso en línea:
- https://hdl.handle.net/11323/6180
https://repositorio.cuc.edu.co/
- Palabra clave:
- I-convergence
Semi-open sets
S-I-convergence
Semi-closure
Semi-compactness
Semicontinuous function
Irresolute function
- Rights
- openAccess
- License
- CC0 1.0 Universal
| Summary: | In this article, we use the notions of a semi-open set and topological ideal, in order to define and study a new variant of the classical concept of convergence of sequences in topological spaces, namely, the S-I-convergence. Some basic properties of S-I-convergent sequences and their preservation under certain types of functions are investigated. Also, we study the notions related to compactness and cluster points by using semi-open sets and ideals. Finally, we explore the Iconvergence of sequences in the cartesian product space |
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