Brown's representability theorem and branched coverings

It is well known that Brown's Representability Theorem has many applications. The proof of the existence of a universal bundle for a topological group (see [4]) and the proof that any space can be approximated by CWcomplexes (see [8]) are among those applications. Here we prove the existence of...

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Autores:
Tejada, Débora María
Tipo de recurso:
Article of journal
Fecha de publicación:
1994
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43490
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43490
http://bdigital.unal.edu.co/33588/
Palabra clave:
Manifolds
branched coverings
classification spaces
homotopy groups
CW-complexes
simplicial complexes
universal bundles
categones and functors
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_abf2Tejada, Débora María697d532d-1920-40e5-9927-72d72de971163002019-06-28T12:02:46Z2019-06-28T12:02:46Z1994https://repositorio.unal.edu.co/handle/unal/43490http://bdigital.unal.edu.co/33588/It is well known that Brown's Representability Theorem has many applications. The proof of the existence of a universal bundle for a topological group (see [4]) and the proof that any space can be approximated by CWcomplexes (see [8]) are among those applications. Here we prove the existence of classifying spaces for branched coverings over CW-complexes using Brown's Theorem as the main tool.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33463Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 28, núm. 1 (1994); 23-34 0034-7426Tejada, Débora María (1994) Brown's representability theorem and branched coverings. Revista Colombiana de Matemáticas; Vol. 28, núm. 1 (1994); 23-34 0034-7426 .Brown's representability theorem and branched coveringsArtículo 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/ARTManifoldsbranched coveringsclassification spaceshomotopy groupsCW-complexessimplicial complexesuniversal bundlescategones and functorsORIGINAL33463-124130-1-PB.pdfapplication/pdf5117654https://repositorio.unal.edu.co/bitstream/unal/43490/1/33463-124130-1-PB.pdf59841e4ccd28c31687dee0c0f662ea1cMD51THUMBNAIL33463-124130-1-PB.pdf.jpg33463-124130-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6687https://repositorio.unal.edu.co/bitstream/unal/43490/2/33463-124130-1-PB.pdf.jpg313d1dbb6cac054f42bc5b2ad55e4abeMD52unal/43490oai:repositorio.unal.edu.co:unal/434902024-02-10 23:06:23.836Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Brown's representability theorem and branched coverings
title Brown's representability theorem and branched coverings
spellingShingle Brown's representability theorem and branched coverings
Manifolds
branched coverings
classification spaces
homotopy groups
CW-complexes
simplicial complexes
universal bundles
categones and functors
title_short Brown's representability theorem and branched coverings
title_full Brown's representability theorem and branched coverings
title_fullStr Brown's representability theorem and branched coverings
title_full_unstemmed Brown's representability theorem and branched coverings
title_sort Brown's representability theorem and branched coverings
dc.creator.fl_str_mv Tejada, Débora María
dc.contributor.author.spa.fl_str_mv Tejada, Débora María
dc.subject.proposal.spa.fl_str_mv Manifolds
branched coverings
classification spaces
homotopy groups
CW-complexes
simplicial complexes
universal bundles
categones and functors
topic Manifolds
branched coverings
classification spaces
homotopy groups
CW-complexes
simplicial complexes
universal bundles
categones and functors
description It is well known that Brown's Representability Theorem has many applications. The proof of the existence of a universal bundle for a topological group (see [4]) and the proof that any space can be approximated by CWcomplexes (see [8]) are among those applications. Here we prove the existence of classifying spaces for branched coverings over CW-complexes using Brown's Theorem as the main tool.
publishDate 1994
dc.date.issued.spa.fl_str_mv 1994
dc.date.accessioned.spa.fl_str_mv 2019-06-28T12:02:46Z
dc.date.available.spa.fl_str_mv 2019-06-28T12:02:46Z
dc.type.spa.fl_str_mv Artículo de revista
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url https://repositorio.unal.edu.co/handle/unal/43490
http://bdigital.unal.edu.co/33588/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/33463
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 28, núm. 1 (1994); 23-34 0034-7426
dc.relation.references.spa.fl_str_mv Tejada, Débora María (1994) Brown's representability theorem and branched coverings. Revista Colombiana de Matemáticas; Vol. 28, núm. 1 (1994); 23-34 0034-7426 .
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
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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 Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/43490/1/33463-124130-1-PB.pdf
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