A NOTE ON SEMI-OPEN SETS IN TRICLOSURE SPACES
In this paper, we used the notion of triclosure spaces to introduce and study the concept of semi-open set in triclosure spaces. Besides, we show some of their properties. Moreover, the notions of semi-continuous and semi-irresolute functions in a triclosure spaces are studied. Furthermore, we prove...
- Autores:
-
GRANADOS, CARLOS
- Tipo de recurso:
- Fecha de publicación:
- 2020
- Institución:
- Universidad del Atlántico
- Repositorio:
- Repositorio Uniatlantico
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.uniatlantico.edu.co:20.500.12834/893
- Acceso en línea:
- https://hdl.handle.net/20.500.12834/893
- Palabra clave:
- Triclosure spaces; semi-open sets; semi-continuous functions; semi-irresolute functions.
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc/4.0/
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A NOTE ON SEMI-OPEN SETS IN TRICLOSURE SPACES |
| title |
A NOTE ON SEMI-OPEN SETS IN TRICLOSURE SPACES |
| spellingShingle |
A NOTE ON SEMI-OPEN SETS IN TRICLOSURE SPACES Triclosure spaces; semi-open sets; semi-continuous functions; semi-irresolute functions. |
| title_short |
A NOTE ON SEMI-OPEN SETS IN TRICLOSURE SPACES |
| title_full |
A NOTE ON SEMI-OPEN SETS IN TRICLOSURE SPACES |
| title_fullStr |
A NOTE ON SEMI-OPEN SETS IN TRICLOSURE SPACES |
| title_full_unstemmed |
A NOTE ON SEMI-OPEN SETS IN TRICLOSURE SPACES |
| title_sort |
A NOTE ON SEMI-OPEN SETS IN TRICLOSURE SPACES |
| dc.creator.fl_str_mv |
GRANADOS, CARLOS |
| dc.contributor.author.none.fl_str_mv |
GRANADOS, CARLOS |
| dc.subject.keywords.spa.fl_str_mv |
Triclosure spaces; semi-open sets; semi-continuous functions; semi-irresolute functions. |
| topic |
Triclosure spaces; semi-open sets; semi-continuous functions; semi-irresolute functions. |
| description |
In this paper, we used the notion of triclosure spaces to introduce and study the concept of semi-open set in triclosure spaces. Besides, we show some of their properties. Moreover, the notions of semi-continuous and semi-irresolute functions in a triclosure spaces are studied. Furthermore, we prove some of their properties. |
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2020 |
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2020-12-29 |
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2020-11-15 |
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2022-11-15T20:50:14Z |
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2022-11-15T20:50:14Z |
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https://hdl.handle.net/20.500.12834/893 |
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10.28919/jmcs/5212 |
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Universidad del Atlántico |
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Repositorio Universidad del Atlántico |
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https://hdl.handle.net/20.500.12834/893 |
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10.28919/jmcs/5212 Universidad del Atlántico Repositorio Universidad del Atlántico |
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eng |
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eng |
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Attribution-NonCommercial 4.0 International |
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Sede Norte |
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Journal of Mathematical and Computational Science |
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Universidad del Atlántico |
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GRANADOS, CARLOS989360de-282a-46d3-90c9-d42dbe1ea3812022-11-15T20:50:14Z2022-11-15T20:50:14Z2020-12-292020-11-15https://hdl.handle.net/20.500.12834/89310.28919/jmcs/5212Universidad del AtlánticoRepositorio Universidad del AtlánticoIn this paper, we used the notion of triclosure spaces to introduce and study the concept of semi-open set in triclosure spaces. Besides, we show some of their properties. Moreover, the notions of semi-continuous and semi-irresolute functions in a triclosure spaces are studied. Furthermore, we prove some of their properties.application/pdfenghttp://creativecommons.org/licenses/by-nc/4.0/Attribution-NonCommercial 4.0 Internationalinfo:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Journal of Mathematical and Computational ScienceA NOTE ON SEMI-OPEN SETS IN TRICLOSURE SPACESPúblico generalTriclosure spaces; semi-open sets; semi-continuous functions; semi-irresolute functions.info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1BarranquillaSede Norte[1] C. Boonpok, On continuous maps in closure spaces, Gen. Math. 17(2) (2009), 127-134.[2] C. Boonpok, J. Khampakdee, Between closed sets and generalized closed sets in closure spaces, Acta Math. Univ. Ostrav. 16 (2008), 3-14[3] E. Cech, Topological spaces, in: Topological Papers of Eduard Cech, Academia, Prague, 1968, 436–472.[4] J. Chvalina, On homeomorphic and equivalent set-systems, Arch. Math. 12 (1976), 107-116[5] J. Chvalina, Stackbases in power sets of neighbourhood spaces preserving the continuity of mappings, Arch. Math. 17 (1981), 81-86[6] C. Granados, An introduction on triclosure spaces, J. Appl. Sci. Comput. 7(5) (2020), 59-63.[7] J. Khampakdee, C. Boonpok, Semi-open sets in biclosure spaces, Discuss. Math. Gen. Algebra Appl. 29 (2009), 181-201[8] M. Kovar, On 3-Topological Version of Theta- Regularity. Int. J. Math. Math. Sci. 23(6) (2000), 393-398.[9] N. Levine, Semi-Open Sets and Semi-Continuity in Topological Spaces, Amer. Math. Month. 70 (1963), 36–41.http://purl.org/coar/resource_type/c_6501ORIGINAL5212-11744-1-PB.pdf5212-11744-1-PB.pdfapplication/pdf125059https://repositorio.uniatlantico.edu.co/bitstream/20.500.12834/893/1/5212-11744-1-PB.pdfcdcf67e6dcef2205bd0f343166956348MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8914https://repositorio.uniatlantico.edu.co/bitstream/20.500.12834/893/2/license_rdf24013099e9e6abb1575dc6ce0855efd5MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81306https://repositorio.uniatlantico.edu.co/bitstream/20.500.12834/893/3/license.txt67e239713705720ef0b79c50b2ececcaMD5320.500.12834/893oai:repositorio.uniatlantico.edu.co:20.500.12834/8932022-11-15 15:50:15.206DSpace de la Universidad de Atlánticosysadmin@mail.uniatlantico.edu.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 |