On a topology between the topologies τθ and τθ-i

We introduce a new class of sets, namely δθ-I-open sets, which form a topology finer than the topology τθ formed by the class of θ-open sets and coarser than the topology τθ-I formed by the class of θ-I-open sets. Moreover, we investigated some interesting properties of this class of sets and its re...

Full description

Autores:
Sanabria, José Eduardo
Rosas, Ennis
Carpintero, Carlos
Salas-Brown, Margot
Tipo de recurso:
Article of journal
Fecha de publicación:
2018
Institución:
Corporación Universidad de la Costa
Repositorio:
REDICUC - Repositorio CUC
Idioma:
eng
OAI Identifier:
oai:repositorio.cuc.edu.co:11323/5804
Acceso en línea:
https://hdl.handle.net/11323/5804
https://repositorio.cuc.edu.co/
Palabra clave:
θ-open
Ideals
θ-I-open
δ-local function
δθ-I-open
Rights
openAccess
License
CC0 1.0 Universal
id RCUC2_177b5df0063d11b3652902f23bcac0b6
oai_identifier_str oai:repositorio.cuc.edu.co:11323/5804
network_acronym_str RCUC2
network_name_str REDICUC - Repositorio CUC
repository_id_str
dc.title.spa.fl_str_mv On a topology between the topologies τθ and τθ-i
title On a topology between the topologies τθ and τθ-i
spellingShingle On a topology between the topologies τθ and τθ-i
θ-open
Ideals
θ-I-open
δ-local function
δθ-I-open
title_short On a topology between the topologies τθ and τθ-i
title_full On a topology between the topologies τθ and τθ-i
title_fullStr On a topology between the topologies τθ and τθ-i
title_full_unstemmed On a topology between the topologies τθ and τθ-i
title_sort On a topology between the topologies τθ and τθ-i
dc.creator.fl_str_mv Sanabria, José Eduardo
Rosas, Ennis
Carpintero, Carlos
Salas-Brown, Margot
dc.contributor.author.spa.fl_str_mv Sanabria, José Eduardo
Rosas, Ennis
Carpintero, Carlos
Salas-Brown, Margot
dc.subject.spa.fl_str_mv θ-open
Ideals
θ-I-open
δ-local function
δθ-I-open
topic θ-open
Ideals
θ-I-open
δ-local function
δθ-I-open
description We introduce a new class of sets, namely δθ-I-open sets, which form a topology finer than the topology τθ formed by the class of θ-open sets and coarser than the topology τθ-I formed by the class of θ-I-open sets. Moreover, we investigated some interesting properties of this class of sets and its relationship with the classes of the θ-open, θ-I-open and δ-I-open sets.
publishDate 2018
dc.date.issued.none.fl_str_mv 2018
dc.date.accessioned.none.fl_str_mv 2020-01-10T19:16:30Z
dc.date.available.none.fl_str_mv 2020-01-10T19:16:30Z
dc.type.spa.fl_str_mv Artículo de revista
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.coar.spa.fl_str_mv http://purl.org/coar/resource_type/c_6501
dc.type.content.spa.fl_str_mv Text
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/article
dc.type.redcol.spa.fl_str_mv http://purl.org/redcol/resource_type/ART
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/acceptedVersion
format http://purl.org/coar/resource_type/c_6501
status_str acceptedVersion
dc.identifier.issn.spa.fl_str_mv 1311-8080
1314-3395
dc.identifier.uri.spa.fl_str_mv https://hdl.handle.net/11323/5804
dc.identifier.instname.spa.fl_str_mv Corporación Universidad de la Costa
dc.identifier.reponame.spa.fl_str_mv REDICUC - Repositorio CUC
dc.identifier.repourl.spa.fl_str_mv https://repositorio.cuc.edu.co/
identifier_str_mv 1311-8080
1314-3395
Corporación Universidad de la Costa
REDICUC - Repositorio CUC
url https://hdl.handle.net/11323/5804
https://repositorio.cuc.edu.co/
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.ispartof.spa.fl_str_mv 10.12732/ijpam.v118i1.6
dc.relation.references.spa.fl_str_mv [1] M. Akdaˇg, θ-I-open sets, Kochi J. Math., 3 (2008), 217-229.
[2] W. Al-Omeri, M. Noorani and A. Al-Omari, a-local function and its properties in ideal topological space, Fasc. Math., 53 (2014), 5-15.
[3] W. Al-Omeri, M. Noorani and A. Al-Omari, On topological groups via a-local functions, Appl. Gen. Topol., 15 (2014), 33-42, doi: 10.4995/agt.2014.2126.
[4] J. Cao, M. Ganster, I. Reilly and M. Steiner, δ-closure, θ-closure and generalized closed sets, Appl. Gen. Topol., 6 (2005), 79-86, doi: 10.4995/agt.2005.1964.
[5] E. Hatir, A. Al-Omari and S. Jafari, δ-local functions and its properties in ideal topological spaces, Fasc. Math., 53 (2014), 53-64.
[6] D. Jankovic and T. R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly, 97 (1990), 295-310.
[7] K. Kuratowski, Topologie I, Monografie Matematyczne tom 3, PWN-Polish Scientific Publishers, Warszawa, 1933.
[8] R. L. Newcomb, Topologies wich are Compact Modulo an Ideal, Ph. D. Dissertation, Univ. of Cal. at Santa Barbara, 1967.
[9] D. Sivaraj, A note on extremally disconnected spaces, Indian J. Pure Appl. Math., 17 (1986), 1373-1375.
[10] K. Thanalakshmi, V. Renukadevi and D. Sivaraj, On θ-I-open sets and ⋆-extremally disconnected spaces, Kochi J. Math., 7 (2012), 17-33.
[11] N. V. Veliˇcko, H-closed topological spaces, Amer. Math. Soc. Transl., 78 (1968), 103-118. [12] S. Yu¨ksel, A. A¸cikg¨oz and T. Noiri, δ-I-continuous functions, Turk. J. Math., 29 (2005), 39-51.
dc.rights.spa.fl_str_mv CC0 1.0 Universal
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/publicdomain/zero/1.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.coar.spa.fl_str_mv http://purl.org/coar/access_right/c_abf2
rights_invalid_str_mv CC0 1.0 Universal
http://creativecommons.org/publicdomain/zero/1.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.publisher.spa.fl_str_mv International Journal of Pure and Applied Mathematics
institution Corporación Universidad de la Costa
bitstream.url.fl_str_mv https://repositorio.cuc.edu.co/bitstreams/0cfd4ef6-fa6d-4fd7-8ed5-b76e1ffd34e4/download
https://repositorio.cuc.edu.co/bitstreams/ba580b76-958a-4172-9573-313a59ec071d/download
https://repositorio.cuc.edu.co/bitstreams/b1536ad4-6ca6-4ff9-b9e3-ce26a8788b7a/download
https://repositorio.cuc.edu.co/bitstreams/8a076c19-569b-4dfe-b815-9f19d1a24169/download
https://repositorio.cuc.edu.co/bitstreams/c74b6388-e259-4dcf-a8ca-66a1d6f076a9/download
bitstream.checksum.fl_str_mv 07904c7eb6e8fcaed105e728cb3cf2be
42fd4ad1e89814f5e4a476b409eb708c
8a4605be74aa9ea9d79846c1fba20a33
107099c177b3a3f31dc39a7455c621d0
6d460f55971b8aca6956e484fc2e85f4
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
MD5
MD5
repository.name.fl_str_mv Repositorio de la Universidad de la Costa CUC
repository.mail.fl_str_mv repdigital@cuc.edu.co
_version_ 1811760833880915968
spelling Sanabria, José EduardoRosas, EnnisCarpintero, CarlosSalas-Brown, Margot2020-01-10T19:16:30Z2020-01-10T19:16:30Z20181311-80801314-3395https://hdl.handle.net/11323/5804Corporación Universidad de la CostaREDICUC - Repositorio CUChttps://repositorio.cuc.edu.co/We introduce a new class of sets, namely δθ-I-open sets, which form a topology finer than the topology τθ formed by the class of θ-open sets and coarser than the topology τθ-I formed by the class of θ-I-open sets. Moreover, we investigated some interesting properties of this class of sets and its relationship with the classes of the θ-open, θ-I-open and δ-I-open sets.Sanabria, José EduardoRosas, EnnisCarpintero, CarlosSalas-Brown, MargotengInternational Journal of Pure and Applied Mathematics10.12732/ijpam.v118i1.6[1] M. Akdaˇg, θ-I-open sets, Kochi J. Math., 3 (2008), 217-229.[2] W. Al-Omeri, M. Noorani and A. Al-Omari, a-local function and its properties in ideal topological space, Fasc. Math., 53 (2014), 5-15.[3] W. Al-Omeri, M. Noorani and A. Al-Omari, On topological groups via a-local functions, Appl. Gen. Topol., 15 (2014), 33-42, doi: 10.4995/agt.2014.2126.[4] J. Cao, M. Ganster, I. Reilly and M. Steiner, δ-closure, θ-closure and generalized closed sets, Appl. Gen. Topol., 6 (2005), 79-86, doi: 10.4995/agt.2005.1964.[5] E. Hatir, A. Al-Omari and S. Jafari, δ-local functions and its properties in ideal topological spaces, Fasc. Math., 53 (2014), 53-64.[6] D. Jankovic and T. R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly, 97 (1990), 295-310.[7] K. Kuratowski, Topologie I, Monografie Matematyczne tom 3, PWN-Polish Scientific Publishers, Warszawa, 1933.[8] R. L. Newcomb, Topologies wich are Compact Modulo an Ideal, Ph. D. Dissertation, Univ. of Cal. at Santa Barbara, 1967.[9] D. Sivaraj, A note on extremally disconnected spaces, Indian J. Pure Appl. Math., 17 (1986), 1373-1375.[10] K. Thanalakshmi, V. Renukadevi and D. Sivaraj, On θ-I-open sets and ⋆-extremally disconnected spaces, Kochi J. Math., 7 (2012), 17-33.[11] N. V. Veliˇcko, H-closed topological spaces, Amer. Math. Soc. Transl., 78 (1968), 103-118. [12] S. Yu¨ksel, A. A¸cikg¨oz and T. Noiri, δ-I-continuous functions, Turk. J. Math., 29 (2005), 39-51.CC0 1.0 Universalhttp://creativecommons.org/publicdomain/zero/1.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2θ-openIdealsθ-I-openδ-local functionδθ-I-openOn a topology between the topologies τθ and τθ-iArtículo 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/acceptedVersionPublicationORIGINALOn a topology between the topologies τθ and τθ-I.pdfOn a topology between the topologies τθ and τθ-I.pdfapplication/pdf151661https://repositorio.cuc.edu.co/bitstreams/0cfd4ef6-fa6d-4fd7-8ed5-b76e1ffd34e4/download07904c7eb6e8fcaed105e728cb3cf2beMD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8701https://repositorio.cuc.edu.co/bitstreams/ba580b76-958a-4172-9573-313a59ec071d/download42fd4ad1e89814f5e4a476b409eb708cMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://repositorio.cuc.edu.co/bitstreams/b1536ad4-6ca6-4ff9-b9e3-ce26a8788b7a/download8a4605be74aa9ea9d79846c1fba20a33MD53THUMBNAILOn a topology between the topologies τθ and τθ-I.pdf.jpgOn a topology between the topologies τθ and τθ-I.pdf.jpgimage/jpeg31646https://repositorio.cuc.edu.co/bitstreams/8a076c19-569b-4dfe-b815-9f19d1a24169/download107099c177b3a3f31dc39a7455c621d0MD55TEXTOn a topology between the topologies τθ and τθ-I.pdf.txtOn a topology between the topologies τθ and τθ-I.pdf.txttext/plain25084https://repositorio.cuc.edu.co/bitstreams/c74b6388-e259-4dcf-a8ca-66a1d6f076a9/download6d460f55971b8aca6956e484fc2e85f4MD5611323/5804oai:repositorio.cuc.edu.co:11323/58042024-09-17 14:07:34.923http://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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

Publicaciones similares