T-adjunction

We show that the operator which associates the upper topologyto a pre-order relation can be extended to the morphisms of a subcategory of Top, in such way that it results a functor and it is right adjoint of the respective extension of the operator which associates to each topology its specializatio...

Full description

Autores:
Acosta, Lorenzo
Tipo de recurso:
Article of journal
Fecha de publicación:
2006
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/73601
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/73601
http://bdigital.unal.edu.co/38077/
Palabra clave:
Specialization order
Alexandrov topology
upper topology
adjoint functor
adjoint function.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Acosta, Lorenzo7a92a4bb-1eb7-4006-9a61-3b673a1c28c93002019-07-03T16:34:37Z2019-07-03T16:34:37Z2006https://repositorio.unal.edu.co/handle/unal/73601http://bdigital.unal.edu.co/38077/We show that the operator which associates the upper topologyto a pre-order relation can be extended to the morphisms of a subcategory of Top, in such way that it results a functor and it is right adjoint of the respective extension of the operator which associates to each topology its specialization pre-order.application/pdfspaBoletín de Matemáticashttp://revistas.unal.edu.co/index.php/bolma/article/view/40448Universidad Nacional de Colombia Revistas electrónicas UN Boletín de MatemáticasBoletín de MatemáticasBoletín de Matemáticas; Vol. 13, núm. 1 (2006); 66-78 Boletín de Matemáticas; Vol. 13, núm. 1 (2006); 66-78 2357-6529 0120-0380Acosta, Lorenzo (2006) T-adjunction. Boletín de Matemáticas; Vol. 13, núm. 1 (2006); 66-78 Boletín de Matemáticas; Vol. 13, núm. 1 (2006); 66-78 2357-6529 0120-0380 .T-adjunctionArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTSpecialization orderAlexandrov topologyupper topologyadjoint functoradjoint function.ORIGINAL40448-181913-1-PB.pdfapplication/pdf169115https://repositorio.unal.edu.co/bitstream/unal/73601/1/40448-181913-1-PB.pdf4feddc9d0518979225769aeaec17b8e1MD51THUMBNAIL40448-181913-1-PB.pdf.jpg40448-181913-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg4720https://repositorio.unal.edu.co/bitstream/unal/73601/2/40448-181913-1-PB.pdf.jpg26ab8adaaab8da729d92e062470fc51bMD52unal/73601oai:repositorio.unal.edu.co:unal/736012024-06-25 23:11:42.404Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv T-adjunction
title T-adjunction
spellingShingle T-adjunction
Specialization order
Alexandrov topology
upper topology
adjoint functor
adjoint function.
title_short T-adjunction
title_full T-adjunction
title_fullStr T-adjunction
title_full_unstemmed T-adjunction
title_sort T-adjunction
dc.creator.fl_str_mv Acosta, Lorenzo
dc.contributor.author.spa.fl_str_mv Acosta, Lorenzo
dc.subject.proposal.spa.fl_str_mv Specialization order
Alexandrov topology
upper topology
adjoint functor
adjoint function.
topic Specialization order
Alexandrov topology
upper topology
adjoint functor
adjoint function.
description We show that the operator which associates the upper topologyto a pre-order relation can be extended to the morphisms of a subcategory of Top, in such way that it results a functor and it is right adjoint of the respective extension of the operator which associates to each topology its specialization pre-order.
publishDate 2006
dc.date.issued.spa.fl_str_mv 2006
dc.date.accessioned.spa.fl_str_mv 2019-07-03T16:34:37Z
dc.date.available.spa.fl_str_mv 2019-07-03T16:34:37Z
dc.type.spa.fl_str_mv Artículo de revista
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
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dc.type.redcol.spa.fl_str_mv http://purl.org/redcol/resource_type/ART
format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/73601
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/38077/
url https://repositorio.unal.edu.co/handle/unal/73601
http://bdigital.unal.edu.co/38077/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/bolma/article/view/40448
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Boletín de Matemáticas
Boletín de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Boletín de Matemáticas; Vol. 13, núm. 1 (2006); 66-78 Boletín de Matemáticas; Vol. 13, núm. 1 (2006); 66-78 2357-6529 0120-0380
dc.relation.references.spa.fl_str_mv Acosta, Lorenzo (2006) T-adjunction. Boletín de Matemáticas; Vol. 13, núm. 1 (2006); 66-78 Boletín de Matemáticas; Vol. 13, núm. 1 (2006); 66-78 2357-6529 0120-0380 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Boletín de Matemáticas
institution Universidad Nacional de Colombia
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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