A functor that reflects and preserves compactness and connectedness

We present an equivalence between the compactness of atopological space and the compactness of a quotient space obtained through a natural equivalence relation. By means of this equivalence, the study of compactness in general is reduced to that of T0 topological spaces.

Autores:
Acosta, Lorenzo
Rubio, Marcela
Tipo de recurso:
Article of journal
Fecha de publicación:
2005
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/73587
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/73587
http://bdigital.unal.edu.co/38063/
Palabra clave:
Compactness
saturated sets
T0−spaces
connectedness
Alexandroff topology
weak topology.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/73587
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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_abf2Acosta, Lorenzo7a92a4bb-1eb7-4006-9a61-3b673a1c28c9300Rubio, Marcelaf109d580-1170-4ce4-ae9c-c3785e81e91b3002019-07-03T16:33:23Z2019-07-03T16:33:23Z2005https://repositorio.unal.edu.co/handle/unal/73587http://bdigital.unal.edu.co/38063/We present an equivalence between the compactness of atopological space and the compactness of a quotient space obtained through a natural equivalence relation. By means of this equivalence, the study of compactness in general is reduced to that of T0 topological spaces.application/pdfspaBoletín de Matemáticashttp://revistas.unal.edu.co/index.php/bolma/article/view/40407Universidad Nacional de Colombia Revistas electrónicas UN Boletín de MatemáticasBoletín de MatemáticasBoletín de Matemáticas; Vol. 12, núm. 2 (2005); 137-144 Boletín de Matemáticas; Vol. 12, núm. 2 (2005); 137-144 2357-6529 0120-0380Acosta, Lorenzo and Rubio, Marcela (2005) A functor that reflects and preserves compactness and connectedness. Boletín de Matemáticas; Vol. 12, núm. 2 (2005); 137-144 Boletín de Matemáticas; Vol. 12, núm. 2 (2005); 137-144 2357-6529 0120-0380 .A functor that reflects and preserves compactness and connectednessArtículo 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/ARTCompactnesssaturated setsT0−spacesconnectednessAlexandroff topologyweak topology.ORIGINAL40407-181353-1-PB.pdfapplication/pdf150581https://repositorio.unal.edu.co/bitstream/unal/73587/1/40407-181353-1-PB.pdf5f1d277b7ee36489719bd968aad61260MD51THUMBNAIL40407-181353-1-PB.pdf.jpg40407-181353-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5100https://repositorio.unal.edu.co/bitstream/unal/73587/2/40407-181353-1-PB.pdf.jpgcdbc4fd4270127f557e06d6ddb69403cMD52unal/73587oai:repositorio.unal.edu.co:unal/735872023-06-29 23:04:04.047Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv A functor that reflects and preserves compactness and connectedness
title A functor that reflects and preserves compactness and connectedness
spellingShingle A functor that reflects and preserves compactness and connectedness
Compactness
saturated sets
T0−spaces
connectedness
Alexandroff topology
weak topology.
title_short A functor that reflects and preserves compactness and connectedness
title_full A functor that reflects and preserves compactness and connectedness
title_fullStr A functor that reflects and preserves compactness and connectedness
title_full_unstemmed A functor that reflects and preserves compactness and connectedness
title_sort A functor that reflects and preserves compactness and connectedness
dc.creator.fl_str_mv Acosta, Lorenzo
Rubio, Marcela
dc.contributor.author.spa.fl_str_mv Acosta, Lorenzo
Rubio, Marcela
dc.subject.proposal.spa.fl_str_mv Compactness
saturated sets
T0−spaces
connectedness
Alexandroff topology
weak topology.
topic Compactness
saturated sets
T0−spaces
connectedness
Alexandroff topology
weak topology.
description We present an equivalence between the compactness of atopological space and the compactness of a quotient space obtained through a natural equivalence relation. By means of this equivalence, the study of compactness in general is reduced to that of T0 topological spaces.
publishDate 2005
dc.date.issued.spa.fl_str_mv 2005
dc.date.accessioned.spa.fl_str_mv 2019-07-03T16:33:23Z
dc.date.available.spa.fl_str_mv 2019-07-03T16:33:23Z
dc.type.spa.fl_str_mv Artículo de revista
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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/73587
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/38063/
url https://repositorio.unal.edu.co/handle/unal/73587
http://bdigital.unal.edu.co/38063/
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/40407
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. 12, núm. 2 (2005); 137-144 Boletín de Matemáticas; Vol. 12, núm. 2 (2005); 137-144 2357-6529 0120-0380
dc.relation.references.spa.fl_str_mv Acosta, Lorenzo and Rubio, Marcela (2005) A functor that reflects and preserves compactness and connectedness. Boletín de Matemáticas; Vol. 12, núm. 2 (2005); 137-144 Boletín de Matemáticas; Vol. 12, núm. 2 (2005); 137-144 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/73587/1/40407-181353-1-PB.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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