The lattice of ordinable topologies

We demonstrate that the ordinable topologies for a set X areprecisely those that occupy the upper part of the lattice of topologies for X, and that they determine a lattice, not always complete or distributive. We also found the amount of complements, and principal complements, for certainordinable...

Full description

Autores:
Pachón Rubiano, Nestor
Tipo de recurso:
Article of journal
Fecha de publicación:
2013
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/73888
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/73888
http://bdigital.unal.edu.co/38365/
Palabra clave:
Ordinable element in an ordered set
lattice
ultratopologies.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_9a72d409a80f7436200d65da3006eb02
oai_identifier_str oai:repositorio.unal.edu.co:unal/73888
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
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_abf2Pachón Rubiano, Nestorac95b5ea-ccee-4bde-bfcb-082b682b11a13002019-07-03T16:59:27Z2019-07-03T16:59:27Z2013https://repositorio.unal.edu.co/handle/unal/73888http://bdigital.unal.edu.co/38365/We demonstrate that the ordinable topologies for a set X areprecisely those that occupy the upper part of the lattice of topologies for X, and that they determine a lattice, not always complete or distributive. We also found the amount of complements, and principal complements, for certainordinable topologies, generalizing a known result of P. S. Schnare.application/pdfspaBoletín de Matemáticashttp://revistas.unal.edu.co/index.php/bolma/article/view/41110Universidad Nacional de Colombia Revistas electrónicas UN Boletín de MatemáticasBoletín de MatemáticasBoletín de Matemáticas; Vol. 20, núm. 2 (2013); 109-123 Boletín de Matemáticas; Vol. 20, núm. 2 (2013); 109-123 2357-6529 0120-0380Pachón Rubiano, Nestor (2013) The lattice of ordinable topologies. Boletín de Matemáticas; Vol. 20, núm. 2 (2013); 109-123 Boletín de Matemáticas; Vol. 20, núm. 2 (2013); 109-123 2357-6529 0120-0380 .The lattice of ordinable topologiesArtículo 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/ARTOrdinable element in an ordered setlatticeultratopologies.ORIGINAL41110-185304-2-PB.pdfapplication/pdf570510https://repositorio.unal.edu.co/bitstream/unal/73888/1/41110-185304-2-PB.pdf61049286602127e22ffc2932b92e3480MD51THUMBNAIL41110-185304-2-PB.pdf.jpg41110-185304-2-PB.pdf.jpgGenerated Thumbnailimage/jpeg6124https://repositorio.unal.edu.co/bitstream/unal/73888/2/41110-185304-2-PB.pdf.jpg9297848ad9c03b28e14bd30387502cadMD52unal/73888oai:repositorio.unal.edu.co:unal/738882024-06-26 23:10:53.962Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv The lattice of ordinable topologies
title The lattice of ordinable topologies
spellingShingle The lattice of ordinable topologies
Ordinable element in an ordered set
lattice
ultratopologies.
title_short The lattice of ordinable topologies
title_full The lattice of ordinable topologies
title_fullStr The lattice of ordinable topologies
title_full_unstemmed The lattice of ordinable topologies
title_sort The lattice of ordinable topologies
dc.creator.fl_str_mv Pachón Rubiano, Nestor
dc.contributor.author.spa.fl_str_mv Pachón Rubiano, Nestor
dc.subject.proposal.spa.fl_str_mv Ordinable element in an ordered set
lattice
ultratopologies.
topic Ordinable element in an ordered set
lattice
ultratopologies.
description We demonstrate that the ordinable topologies for a set X areprecisely those that occupy the upper part of the lattice of topologies for X, and that they determine a lattice, not always complete or distributive. We also found the amount of complements, and principal complements, for certainordinable topologies, generalizing a known result of P. S. Schnare.
publishDate 2013
dc.date.issued.spa.fl_str_mv 2013
dc.date.accessioned.spa.fl_str_mv 2019-07-03T16:59:27Z
dc.date.available.spa.fl_str_mv 2019-07-03T16:59:27Z
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.driver.spa.fl_str_mv info:eu-repo/semantics/article
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.coar.spa.fl_str_mv http://purl.org/coar/resource_type/c_6501
dc.type.coarversion.spa.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.content.spa.fl_str_mv Text
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/73888
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/38365/
url https://repositorio.unal.edu.co/handle/unal/73888
http://bdigital.unal.edu.co/38365/
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/41110
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. 20, núm. 2 (2013); 109-123 Boletín de Matemáticas; Vol. 20, núm. 2 (2013); 109-123 2357-6529 0120-0380
dc.relation.references.spa.fl_str_mv Pachón Rubiano, Nestor (2013) The lattice of ordinable topologies. Boletín de Matemáticas; Vol. 20, núm. 2 (2013); 109-123 Boletín de Matemáticas; Vol. 20, núm. 2 (2013); 109-123 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
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/73888/1/41110-185304-2-PB.pdf
https://repositorio.unal.edu.co/bitstream/unal/73888/2/41110-185304-2-PB.pdf.jpg
bitstream.checksum.fl_str_mv 61049286602127e22ffc2932b92e3480
9297848ad9c03b28e14bd30387502cad
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
repository.mail.fl_str_mv repositorio_nal@unal.edu.co
_version_ 1814089868806979584

Publicaciones similares