On nearly S-paracompactness
- The objective of the present work is to introduce the notion of α-nearly S-paracompact subset, which is closely related to α-nearly paracompact and αS-paracompact subsets. Moreover, we study the invariance under direct and inverse images of open, perfect and regular perfect functions of the nearly...
- Autores:
-
SANABRIA, JOSÉ
- Tipo de recurso:
- Fecha de publicación:
- 2021
- Institución:
- Universidad del Atlántico
- Repositorio:
- Repositorio Uniatlantico
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.uniatlantico.edu.co:20.500.12834/823
- Acceso en línea:
- https://hdl.handle.net/20.500.12834/823
- Palabra clave:
- - semi-open set; regular open set; nearly S-paracompact space; α-nearly S-paracompact subset; perfect function; sum space; product space.
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc/4.0/
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On nearly S-paracompactness |
| title |
On nearly S-paracompactness |
| spellingShingle |
On nearly S-paracompactness - semi-open set; regular open set; nearly S-paracompact space; α-nearly S-paracompact subset; perfect function; sum space; product space. |
| title_short |
On nearly S-paracompactness |
| title_full |
On nearly S-paracompactness |
| title_fullStr |
On nearly S-paracompactness |
| title_full_unstemmed |
On nearly S-paracompactness |
| title_sort |
On nearly S-paracompactness |
| dc.creator.fl_str_mv |
SANABRIA, JOSÉ |
| dc.contributor.author.none.fl_str_mv |
SANABRIA, JOSÉ |
| dc.contributor.other.none.fl_str_mv |
FERRER, OSMIN BLANCO, CLARA |
| dc.subject.keywords.spa.fl_str_mv |
- semi-open set; regular open set; nearly S-paracompact space; α-nearly S-paracompact subset; perfect function; sum space; product space. |
| topic |
- semi-open set; regular open set; nearly S-paracompact space; α-nearly S-paracompact subset; perfect function; sum space; product space. |
| description |
- The objective of the present work is to introduce the notion of α-nearly S-paracompact subset, which is closely related to α-nearly paracompact and αS-paracompact subsets. Moreover, we study the invariance under direct and inverse images of open, perfect and regular perfect functions of the nearly S-paracompact spaces [10] and analyze the behavior of such spaces through the sum and topological product. |
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2021 |
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2021-08-12 |
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2021-06-15 |
| dc.date.accessioned.none.fl_str_mv |
2022-11-15T19:35:43Z |
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2022-11-15T19:35:43Z |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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Artículo |
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https://hdl.handle.net/20.500.12834/823 |
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10.37394/23206.2021.20.36 |
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Universidad del Atlántico |
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Repositorio Universidad del Atlántico |
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https://hdl.handle.net/20.500.12834/823 |
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10.37394/23206.2021.20.36 Universidad del Atlántico Repositorio Universidad del Atlántico |
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eng |
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eng |
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Matemáticas |
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Sede Norte |
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SANABRIA, JOSÉ3c7409e9-da54-4d6f-82d9-22dfe158f751FERRER, OSMINBLANCO, CLARA2022-11-15T19:35:43Z2022-11-15T19:35:43Z2021-08-122021-06-15https://hdl.handle.net/20.500.12834/82310.37394/23206.2021.20.36Universidad del AtlánticoRepositorio Universidad del Atlántico- The objective of the present work is to introduce the notion of α-nearly S-paracompact subset, which is closely related to α-nearly paracompact and αS-paracompact subsets. Moreover, we study the invariance under direct and inverse images of open, perfect and regular perfect functions of the nearly S-paracompact spaces [10] and analyze the behavior of such spaces through the sum and topological product.application/pdfenghttp://creativecommons.org/licenses/by-nc/4.0/Attribution-NonCommercial 4.0 Internationalinfo:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2WSEAS TRANSACTIONS on MATHEMATICSOn nearly S-paracompactnessPúblico general- semi-open set; regular open set; nearly S-paracompact space; α-nearly S-paracompact subset; perfect function; sum space; product space.info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1BarranquillaMatemáticasSede Norte[1] J. Dieudonné, Une generalisation des espaces compacts, J. Math. Pures Appl. 23 (9) (1944), 65– 76.[2] B. E. Katenov, D. E. Kanetova and N. I. Altybaev, On countably uniformly paracompact spaces, AIP Conf. Proc. 2324 (2021), 020011-1– 020011-4; https://doi.org/10.1063/5.0046213[3] A. Salam Abdulkadhum and Z. D. Al-Nafie: On Paracompactness of the space C Lipk(Ω), J. Phys. Conf. Ser. 1804 (1) (2021), Article ID 012122.[4] M. Zhanakunova and B. Katenov, On strongly uniformly paracompact spaces and mappings, AIP Conf. Proc. 2325 (2021), 020030-1–020030- 5; https://doi.org/10.1063/5.0040268[5] C. E. Aull, α-paracompact subsets, Proc. Second Prague Topological Symp. 1966, Acad. Pub. House Czechoslovak Acad. Sci., Prague (1967), 45–51.[6] M. K. Singal and S. P. Arya, On nearly paracompact spaces, Mat. Vesnik 6 (21) (1969), 3–16.[7] M. H. Stone, Application of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc. 41 (1937), 374–481.[8] I. Koväcević, On nearly paracompact spaces, Publ. De L’ Inst. Math. (N.S.) 25 (39) (1979), 63– 69.[9] K. Y. Al-Zoubi: S-paracompact spaces, Acta Math. Hungar. 110 (1-2) (2006), 165–174.[10] J. Sanabria, E. Rosas and C. Blanco, Nearly Sparacompact spaces, Submitted (2020).[11] N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36–41.[12] S. G. Crossley and S. K. Hilderbrand, Semitopological properties, Fund. Math. 74 (1972), 233–254.[13] N. V. Veličko, H-closed topological spaces, Amer. Math. Soc. Transl. 78 (1968), 103–118.[14] J. Dontchev and M. Ganster, On δ-generalized closed sets and T3/4-spaces, Mem. Fac. Sci. Kochi Univ. Ser. A Math. 17 (1996), 15–31.[15] P. Bhattacharyya and B. K. Lahiri, Semigeneralized closed sets in topology, Indian J. Math. 29 (1987), 375–382.[16] M. K. Singal and A. Mathur, On nearly compact spaces, Bull. Un. Math. Ital. 4 (6) (1969), 702– 710.[17] T. Mršević, I. L. Reilly and M. K. Vamanamurthy, On semi-regulation topologies, J. Austral. Math. Soc. (Series A) 38 (1985), 40–54.[18] S. G. Crossley and S. K. Hilderbrand, Semiclosure, Texas J. Sci. 22 (1971), 99–112.[19] I. Koväcević, On nearly and almost paracompactness, Kyungpook Math. J. 30 (2) (1990), 181–193.[20] P. Y. Li and K. Y. Song, Some remarks on Sparacomopact spaces, Acta Math. Hungar. 118 (4) (2008), 345–355.[20] P. Y. Li and K. Y. Song, Some remarks on Sparacomopact spaces, Acta Math. Hungar. 118 (4) (2008), 345–355.[22] T. Noiri, Almost-continuity and some separation axioms, Glasnik Mat. 9 (29) (1974), 131–135.[23] J. K. Kohli and D. Singh, Between strong continuity and almost continuity, Appl. Gen. Topol. 11 (1) (2010), 29–42.[24] X. Ge, Mappings on S-paracompact spaces, Acta. Univ. Apulensis Math. Inform. 19 (2009), 197–202.[25] R. Engelking, General Topology, Heldermann Verlag, Berlin, 1989.[26] J. Sanabria, E. Rosas, C. Carpintero, M. SalasBrown and O. García, S-Paracompactness in ideal topological spaces, Mat. Vesnik 68 (3) (2016), 192–203.[27] J. Sanabria, E. Rosas, C. Carpintero, N. Rajesh and A. Gómez, S-Paracompactness modulo an ideal, Cubo 18 (1) (2016), 47–57.[28] F. Lin, Soft connected spaces and soft paracompact spaces, Int. J. Math. Comput. Sci. Eng. 7 (2) (2013), 277–283.[29] T. M. Al-shami, L. D. R. Kočinac and B. A. Asaad: Sum of soft topological spaces, Mathematics 8 (6) (2020), Article 990; doi:10.3390/math8060990[30] E. Turanli, I. Demir and O. B. Özbakir, Some types of soft paracompactness via soft ideals, Int. J. Nonlinear Anal. Appl. 10 (2) (2019), 197–211.http://purl.org/coar/resource_type/c_6501ORIGINALa725106-1425.pdfa725106-1425.pdfapplication/pdf880653https://repositorio.uniatlantico.edu.co/bitstream/20.500.12834/823/1/a725106-1425.pdf8a3dbdfc5b895d3af1f98c10c6ef1f5cMD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8914https://repositorio.uniatlantico.edu.co/bitstream/20.500.12834/823/2/license_rdf24013099e9e6abb1575dc6ce0855efd5MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81306https://repositorio.uniatlantico.edu.co/bitstream/20.500.12834/823/3/license.txt67e239713705720ef0b79c50b2ececcaMD5320.500.12834/823oai:repositorio.uniatlantico.edu.co:20.500.12834/8232022-11-15 14:35:44.087DSpace de la Universidad de Atlánticosysadmin@mail.uniatlantico.edu.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 |