On minimal λrc-open sets
We introduce and discuss the notions of minimal 4,..-open sets in topological spaces. We investigate some its fundamental properties. We show that the notions of minimal open sets and minimal 4,,-open sets are independent andfinally we obtain some applications of a minimal A,..-open sets.
- Autores:
-
Rosas, Ennis
Namiq, Sarhad F.
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2020
- Institución:
- Corporación Universidad de la Costa
- Repositorio:
- REDICUC - Repositorio CUC
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.cuc.edu.co:11323/6051
- Acceso en línea:
- https://hdl.handle.net/11323/6051
https://repositorio.cuc.edu.co/
- Palabra clave:
- On minimal λrc-open sets
λrc-locally finite space
- Rights
- openAccess
- License
- CC0 1.0 Universal
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On minimal λrc-open sets |
| title |
On minimal λrc-open sets |
| spellingShingle |
On minimal λrc-open sets On minimal λrc-open sets λrc-locally finite space |
| title_short |
On minimal λrc-open sets |
| title_full |
On minimal λrc-open sets |
| title_fullStr |
On minimal λrc-open sets |
| title_full_unstemmed |
On minimal λrc-open sets |
| title_sort |
On minimal λrc-open sets |
| dc.creator.fl_str_mv |
Rosas, Ennis Namiq, Sarhad F. |
| dc.contributor.author.spa.fl_str_mv |
Rosas, Ennis Namiq, Sarhad F. |
| dc.subject.spa.fl_str_mv |
On minimal λrc-open sets λrc-locally finite space |
| topic |
On minimal λrc-open sets λrc-locally finite space |
| description |
We introduce and discuss the notions of minimal 4,..-open sets in topological spaces. We investigate some its fundamental properties. We show that the notions of minimal open sets and minimal 4,,-open sets are independent andfinally we obtain some applications of a minimal A,..-open sets. |
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2020 |
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2020-02-21T19:59:27Z |
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2020-02-21T19:59:27Z |
| dc.date.issued.none.fl_str_mv |
2020 |
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Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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1126-8042 |
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https://hdl.handle.net/11323/6051 |
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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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1126-8042 Corporación Universidad de la Costa REDICUC - Repositorio CUC |
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| dc.language.iso.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.references.spa.fl_str_mv |
1] B. Ahmad and S. Hussain, Properties of γ-Operations on Topological Spaces, Aligarh Bull.Math. 22(1), (2003), 45-51. [2] C. Carpintero, E. Rosas, J. Sanabria and M. Salas-Brown, Minial open sets on generalized topological spaces, Proyecciones Journal of Mathematics, 36 (4) (2017), 65-76. [3] S. Hussain and B. Ahmad, On Minimal γ-Open Sets, Eur. J. Pure Appl. Maths., 2(3), (2009),338-351. [4] S. Kasahara, Operation-Compact Spaces, Math. Japon., 24(1979), 97-105. [5] A. B. Khalaf and S. F. Namiq, New types of continuity and separation axiom based operation in topological spaces, M. Sc. Thesis, University of Sulaimani (2011). [6] A. B. Khalaf and S. F. Namiq, λ-Open Sets and λ-Separation Axioms in Topological Spaces, Journal of Advanced Studies in Topology, 4(1), (2013), 150-158. [7] A. B. Khalaf and S. F. Namiq, Generalized λ-Closed Sets and (λ, γ) ∗ )-Continuous, Journal of Garmyan University, (2017), ISSN 2310-0087. [8] A. B. Khalaf and S. F. Namiq, λβc-Connected Spaces and λβc-Components, Journal of Garmyan University, (2017), ISSN 2310-0087. [9] A. B. Khalaf , H. M. Darwesh; S. F. Namiq, λc-Connected Space Via λc-Open Sets. Journal of Garmyan University, (2017), ISSN 2310-0087. [10] N. Levine, Semi-open sets and semi-continuity in topological spaces,Amer. Math. Monthly, 70 (1),(1963), 36-41. [11] F. Nakaoka and N. Oda, Some applications of minimal open sets, Int. J. Math. Math. Sci., 27(8), (2001), 471-476 [12] S. F. Namiq, λ∗ − R0 and λ∗ − R1 Spaces, Journal of Garmyan University,4(3), (2014), ISSN 2310-0087. [13] S. F. Namiq, λβc-Open Sets and Topological Properties, Journal of Garmyan University, (2017), ISSN 2310-0087. [14] S. F. Namiq, Contra (λ, γ) ∗-Continuous Functions, Journal of Garmyan University, (2017), ISSN 2310-0087. [15] S. F. Namiq , Generalized λc-Open Set, International Journal of Scientific Engineering Research, 8 (6), June-2017. ISSN 2229-5518. [16] S. F. Namiq, λsc-open sets and topological properties, Journal of Garmyan University, (2014), ISSN 2310-0087. [17] S. F. Namiq, λsc-Connected Spaces Via λsc-Open Sets, Journal of Garmyan University, (2017), ISSN 2310-0087. [18] H. M. Darwesh, Sarhad F. Namiq and Wria K. Kadir, Maximal λc-Open Sets, ICNS-2016. [19] S. F. Namiq, λ-Connected Spaces Via λ-Open Sets, Journal of Garmyan University, 2015. [20] S. F. Namiq, On Minimal λαc-Open Sets(submit). [21] S. F. Namiq, λrc-open sets and topological properties. (submit). [22] H. Ogata: Operations on Topological Spaces and Associated Topology, Math. Japon., 36(1), (1991), 175-184. [23] M. Stone, Applications of the theory of Boolean rings to general topology. Trans. Amer. Math. soc.,41, (1937), 374-481, |
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Italian Journal of Pure and Applied Mathematics |
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Corporación Universidad de la Costa |
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Rosas, EnnisNamiq, Sarhad F.2020-02-21T19:59:27Z2020-02-21T19:59:27Z20201126-8042https://hdl.handle.net/11323/6051Corporación Universidad de la CostaREDICUC - Repositorio CUChttps://repositorio.cuc.edu.co/We introduce and discuss the notions of minimal 4,..-open sets in topological spaces. We investigate some its fundamental properties. We show that the notions of minimal open sets and minimal 4,,-open sets are independent andfinally we obtain some applications of a minimal A,..-open sets.Rosas, EnnisNamiq, Sarhad F.engItalian Journal of Pure and Applied MathematicsCC0 1.0 Universalhttp://creativecommons.org/publicdomain/zero/1.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2On minimal λrc-open setsλrc-locally finite spaceOn minimal λrc-open setsArtículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/acceptedVersion1] B. Ahmad and S. Hussain, Properties of γ-Operations on Topological Spaces, Aligarh Bull.Math. 22(1), (2003), 45-51.[2] C. Carpintero, E. Rosas, J. Sanabria and M. Salas-Brown, Minial open sets on generalized topological spaces, Proyecciones Journal of Mathematics, 36 (4) (2017), 65-76.[3] S. Hussain and B. Ahmad, On Minimal γ-Open Sets, Eur. J. Pure Appl. Maths., 2(3), (2009),338-351.[4] S. Kasahara, Operation-Compact Spaces, Math. Japon., 24(1979), 97-105.[5] A. B. Khalaf and S. F. Namiq, New types of continuity and separation axiom based operation in topological spaces, M. Sc. Thesis, University of Sulaimani (2011).[6] A. B. Khalaf and S. F. Namiq, λ-Open Sets and λ-Separation Axioms in Topological Spaces, Journal of Advanced Studies in Topology, 4(1), (2013), 150-158.[7] A. B. Khalaf and S. F. Namiq, Generalized λ-Closed Sets and (λ, γ) ∗ )-Continuous, Journal of Garmyan University, (2017), ISSN 2310-0087.[8] A. B. Khalaf and S. F. Namiq, λβc-Connected Spaces and λβc-Components, Journal of Garmyan University, (2017), ISSN 2310-0087.[9] A. B. Khalaf , H. M. Darwesh; S. F. Namiq, λc-Connected Space Via λc-Open Sets. Journal of Garmyan University, (2017), ISSN 2310-0087.[10] N. Levine, Semi-open sets and semi-continuity in topological spaces,Amer. Math. Monthly, 70 (1),(1963), 36-41.[11] F. Nakaoka and N. Oda, Some applications of minimal open sets, Int. J. Math. Math. Sci., 27(8), (2001), 471-476[12] S. F. Namiq, λ∗ − R0 and λ∗ − R1 Spaces, Journal of Garmyan University,4(3), (2014), ISSN 2310-0087.[13] S. F. Namiq, λβc-Open Sets and Topological Properties, Journal of Garmyan University, (2017), ISSN 2310-0087.[14] S. F. Namiq, Contra (λ, γ) ∗-Continuous Functions, Journal of Garmyan University, (2017), ISSN 2310-0087.[15] S. F. Namiq , Generalized λc-Open Set, International Journal of Scientific Engineering Research, 8 (6), June-2017. ISSN 2229-5518.[16] S. F. Namiq, λsc-open sets and topological properties, Journal of Garmyan University, (2014), ISSN 2310-0087.[17] S. F. Namiq, λsc-Connected Spaces Via λsc-Open Sets, Journal of Garmyan University, (2017), ISSN 2310-0087.[18] H. M. Darwesh, Sarhad F. Namiq and Wria K. Kadir, Maximal λc-Open Sets, ICNS-2016.[19] S. F. Namiq, λ-Connected Spaces Via λ-Open Sets, Journal of Garmyan University, 2015.[20] S. F. Namiq, On Minimal λαc-Open Sets(submit).[21] S. F. Namiq, λrc-open sets and topological properties. (submit).[22] H. Ogata: Operations on Topological Spaces and Associated Topology, Math. Japon., 36(1), (1991), 175-184.[23] M. Stone, Applications of the theory of Boolean rings to general topology. Trans. Amer. Math. soc.,41, (1937), 374-481,PublicationORIGINALON MINIMAL λrc-OPEN SETS.pdfON MINIMAL λrc-OPEN SETS.pdfapplication/pdf1931613https://repositorio.cuc.edu.co/bitstreams/1565281c-8587-4ce9-8dcb-e028587a9591/downloadd57ccf972894908f477918086b237387MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8701https://repositorio.cuc.edu.co/bitstreams/e357a8ec-9e25-4c7b-92fc-5e18fe7ecb89/download42fd4ad1e89814f5e4a476b409eb708cMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://repositorio.cuc.edu.co/bitstreams/a6142e17-ff72-4da4-aae0-be044ac0e78b/download8a4605be74aa9ea9d79846c1fba20a33MD53THUMBNAILON MINIMAL λrc-OPEN SETS.pdf.jpgON MINIMAL λrc-OPEN SETS.pdf.jpgimage/jpeg43635https://repositorio.cuc.edu.co/bitstreams/dbc256b7-5655-4f4c-bca7-81bf503c7a15/downloade4eb4793eac5c63d9cca04049ef47ce2MD54TEXTON MINIMAL λrc-OPEN SETS.pdf.txtON MINIMAL λrc-OPEN SETS.pdf.txttext/plain20640https://repositorio.cuc.edu.co/bitstreams/04d3c28f-6aaa-4d78-8cab-ea14beb4bfea/download7283a5a4f00d32f406c2920e4a9b631dMD5511323/6051oai:repositorio.cuc.edu.co:11323/60512024-09-17 12:46:08.212http://creativecommons.org/publicdomain/zero/1.0/CC0 1.0 Universalopen.accesshttps://repositorio.cuc.edu.coRepositorio de la Universidad de la Costa CUCrepdigital@cuc.edu.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 |