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
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| dc.title.spa.fl_str_mv |
S-I-convergence of sequences |
| title |
S-I-convergence of sequences |
| spellingShingle |
S-I-convergence of sequences I-convergence Semi-open sets S-I-convergence Semi-closure Semi-compactness Semicontinuous function Irresolute function |
| title_short |
S-I-convergence of sequences |
| title_full |
S-I-convergence of sequences |
| title_fullStr |
S-I-convergence of sequences |
| title_full_unstemmed |
S-I-convergence of sequences |
| title_sort |
S-I-convergence of sequences |
| dc.creator.fl_str_mv |
Guevara, Andrés Sanabria, José ROSAS, ENNIS |
| dc.contributor.author.spa.fl_str_mv |
Guevara, Andrés Sanabria, José ROSAS, ENNIS |
| dc.subject.spa.fl_str_mv |
I-convergence Semi-open sets S-I-convergence Semi-closure Semi-compactness Semicontinuous function Irresolute function |
| topic |
I-convergence Semi-open sets S-I-convergence Semi-closure Semi-compactness Semicontinuous function Irresolute function |
| description |
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 |
| publishDate |
2020 |
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2020-04-14T20:30:18Z |
| dc.date.available.none.fl_str_mv |
2020-04-14T20:30:18Z |
| dc.date.issued.none.fl_str_mv |
2020 |
| dc.type.spa.fl_str_mv |
Pre-Publicación |
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http://purl.org/coar/resource_type/c_816b |
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Text |
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http://purl.org/redcol/resource_type/ARTOTR |
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info:eu-repo/semantics/acceptedVersion |
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http://purl.org/coar/resource_type/c_816b |
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acceptedVersion |
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https://hdl.handle.net/11323/6180 |
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Corporación Universidad de la Costa |
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REDICUC - Repositorio CUC |
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https://repositorio.cuc.edu.co/ |
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https://hdl.handle.net/11323/6180 https://repositorio.cuc.edu.co/ |
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Corporación Universidad de la Costa REDICUC - Repositorio CUC |
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eng |
| language |
eng |
| dc.rights.spa.fl_str_mv |
CC0 1.0 Universal |
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http://creativecommons.org/publicdomain/zero/1.0/ |
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CC0 1.0 Universal http://creativecommons.org/publicdomain/zero/1.0/ http://purl.org/coar/access_right/c_abf2 |
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openAccess |
| dc.publisher.spa.fl_str_mv |
Universidad de la Costa |
| institution |
Corporación Universidad de la Costa |
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Guevara, Andrés8b8a536382fed9e06d9ef92cd0e05479300Sanabria, José9f531f5633fa6d7d4d92ed3e70ed11e6ROSAS, ENNISfd17ba36df2dc0e81ef5512d197ff8b82020-04-14T20:30:18Z2020-04-14T20:30:18Z2020https://hdl.handle.net/11323/6180Corporación Universidad de la CostaREDICUC - Repositorio CUChttps://repositorio.cuc.edu.co/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 spaceengUniversidad de la CostaCC0 1.0 Universalhttp://creativecommons.org/publicdomain/zero/1.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2I-convergenceSemi-open setsS-I-convergenceSemi-closureSemi-compactnessSemicontinuous functionIrresolute functionS-I-convergence of sequencesPre-Publicaciónhttp://purl.org/coar/resource_type/c_816bTextinfo:eu-repo/semantics/preprinthttp://purl.org/redcol/resource_type/ARTOTRinfo:eu-repo/semantics/acceptedVersionORIGINALS-I-CONVERGENCE OF SEQUENCES.pdfS-I-CONVERGENCE OF SEQUENCES.pdfapplication/pdf72908https://repositorio.cuc.edu.co/bitstream/11323/6180/1/S-I-CONVERGENCE%20OF%20SEQUENCES.pdfdb897ec11667c1422f63069f999919afMD51open accessCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8701https://repositorio.cuc.edu.co/bitstream/11323/6180/2/license_rdf42fd4ad1e89814f5e4a476b409eb708cMD52open accessLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://repositorio.cuc.edu.co/bitstream/11323/6180/3/license.txt8a4605be74aa9ea9d79846c1fba20a33MD53open accessTHUMBNAILS-I-CONVERGENCE OF SEQUENCES.pdf.jpgS-I-CONVERGENCE OF SEQUENCES.pdf.jpgimage/jpeg32039https://repositorio.cuc.edu.co/bitstream/11323/6180/4/S-I-CONVERGENCE%20OF%20SEQUENCES.pdf.jpg547b8968e58c98744b9e354ba4e416b1MD54open accessTEXTS-I-CONVERGENCE OF SEQUENCES.pdf.txtS-I-CONVERGENCE OF SEQUENCES.pdf.txttext/plain779https://repositorio.cuc.edu.co/bitstream/11323/6180/5/S-I-CONVERGENCE%20OF%20SEQUENCES.pdf.txta3b5f4c2ffade1880869f42273f9462dMD55open access11323/6180oai:repositorio.cuc.edu.co:11323/61802023-12-14 17:47:03.775CC0 1.0 Universal|||http://creativecommons.org/publicdomain/zero/1.0/open accessRepositorio Universidad de La Costabdigital@metabiblioteca.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 |