A closed model category for (n-1)-connected spaces

For each integer n > 0, we give a distinct closed model category structure to the category of pointed spaces Top * such that the corresponding localized category Ho(Top * n) is equivalent to the standard homotopy category of (n - 1)-connected CW-complexes. The structure of closed model catego...

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Detalles Bibliográficos
Autores: Aldana, J.I.E., Paricio, L.J.H. [0000-0003-4528-7781], Rodríguez, M.T.R. [0000-0001-8911-4941]
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1996
País:España
Institución:Universidad de La Rioja (UR)
Repositorio:RIUR. Repositorio Institucional de la Universidad de La Rioja
OAI Identifier:oai:portal.dialnet.es:doc/5bbc6a15b750603269e826b5
Acceso en línea:https://investigacion.unirioja.es/documentos/5bbc6a15b750603269e826b5
Access Level:acceso abierto
Palabra clave:(n - 1)-connected space
Closed model category
Homotopy category
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spelling A closed model category for (n-1)-connected spacesAldana, J.I.E.Paricio, L.J.H. [0000-0003-4528-7781]Rodríguez, M.T.R. [0000-0001-8911-4941](n - 1)-connected spaceClosed model categoryHomotopy categoryFor each integer n > 0, we give a distinct closed model category structure to the category of pointed spaces Top * such that the corresponding localized category Ho(Top * n) is equivalent to the standard homotopy category of (n - 1)-connected CW-complexes. The structure of closed model category given by Quillen to Top* is based on maps which induce isomorphisms on all homotopy group functors π q and for any choice of base point. For each n > 0, the closed model category structure given here takes as weak equivalences those maps that for the given base point induce isomorphisms on π q for q ≥ n. ©1096 American Mathematical Society.1996info:eu-repo/semantics/articleSubtype: Articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://investigacion.unirioja.es/documentos/5bbc6a15b750603269e826b5reponame:RIUR. Repositorio Institucional de la Universidad de La Riojainstname:Universidad de La Rioja (UR)Inglésinfo:eu-repo/semantics/altIdentifier/wos/WOS:A1996VY29000042info:eu-repo/semantics/altIdentifier/doi/10.1090/S0002-9939-96-03606-4info:eu-repo/semantics/altIdentifier/pissn/0002-9939A closed model category for (n-1)-connected spaces, 1996, vol. 124, núm. 11, pág. 3545-3553info:eu-repo/semantics/openAccessoai:portal.dialnet.es:doc/5bbc6a15b750603269e826b52026-06-14T12:47:17Z
dc.title.none.fl_str_mv A closed model category for (n-1)-connected spaces
title A closed model category for (n-1)-connected spaces
spellingShingle A closed model category for (n-1)-connected spaces
Aldana, J.I.E.
(n - 1)-connected space
Closed model category
Homotopy category
title_short A closed model category for (n-1)-connected spaces
title_full A closed model category for (n-1)-connected spaces
title_fullStr A closed model category for (n-1)-connected spaces
title_full_unstemmed A closed model category for (n-1)-connected spaces
title_sort A closed model category for (n-1)-connected spaces
dc.creator.none.fl_str_mv Aldana, J.I.E.
Paricio, L.J.H. [0000-0003-4528-7781]
Rodríguez, M.T.R. [0000-0001-8911-4941]
author Aldana, J.I.E.
author_facet Aldana, J.I.E.
Paricio, L.J.H. [0000-0003-4528-7781]
Rodríguez, M.T.R. [0000-0001-8911-4941]
author_role author
author2 Paricio, L.J.H. [0000-0003-4528-7781]
Rodríguez, M.T.R. [0000-0001-8911-4941]
author2_role author
author
dc.subject.none.fl_str_mv (n - 1)-connected space
Closed model category
Homotopy category
topic (n - 1)-connected space
Closed model category
Homotopy category
description For each integer n > 0, we give a distinct closed model category structure to the category of pointed spaces Top * such that the corresponding localized category Ho(Top * n) is equivalent to the standard homotopy category of (n - 1)-connected CW-complexes. The structure of closed model category given by Quillen to Top* is based on maps which induce isomorphisms on all homotopy group functors π q and for any choice of base point. For each n > 0, the closed model category structure given here takes as weak equivalences those maps that for the given base point induce isomorphisms on π q for q ≥ n. ©1096 American Mathematical Society.
publishDate 1996
dc.date.none.fl_str_mv 1996
dc.type.none.fl_str_mv info:eu-repo/semantics/article
Subtype: Article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://investigacion.unirioja.es/documentos/5bbc6a15b750603269e826b5
url https://investigacion.unirioja.es/documentos/5bbc6a15b750603269e826b5
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/wos/WOS:A1996VY29000042
info:eu-repo/semantics/altIdentifier/doi/10.1090/S0002-9939-96-03606-4
info:eu-repo/semantics/altIdentifier/pissn/0002-9939
A closed model category for (n-1)-connected spaces, 1996, vol. 124, núm. 11, pág. 3545-3553
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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instname:Universidad de La Rioja (UR)
instname_str Universidad de La Rioja (UR)
reponame_str RIUR. Repositorio Institucional de la Universidad de La Rioja
collection RIUR. Repositorio Institucional de la Universidad de La Rioja
repository.name.fl_str_mv
repository.mail.fl_str_mv
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