Homotopy theory of nonsymmetric operads

We endow categories of nonsymmetric operads with natural model structures. We work with no restriction on our operads and only assume the usual hypotheses for model categories with a symmetric monoidal structure. We also study categories of algebras over these operads in enriched nonsymmetric monoid...

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Detalles Bibliográficos
Autor: Muro Jiménez, Fernando
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2011
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/43022
Acceso en línea:http://hdl.handle.net/11441/43022
https://doi.org/10.2140/agt.2011.11.1541
Access Level:acceso abierto
Palabra clave:operad
algebra
model category
enriched A∞–category
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spelling Homotopy theory of nonsymmetric operadsMuro Jiménez, Fernandooperadalgebramodel categoryenriched A∞–categoryWe endow categories of nonsymmetric operads with natural model structures. We work with no restriction on our operads and only assume the usual hypotheses for model categories with a symmetric monoidal structure. We also study categories of algebras over these operads in enriched nonsymmetric monoidal model categories.Ministerio de Educación y CienciaFondo Europeo de Desarrollo RegionalGeneralitat de CatalunyaJunta de AndalucíaMathematical Sciences PublishersÁlgebraFQM218: Geometria Algebraica, Sistemas Diferenciales y Singularidades2011info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/43022https://doi.org/10.2140/agt.2011.11.1541reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésAlgebraic and Geometric Topology, 11, 1541-1599.MTM2007-63277MTM2010-15831SGR-119-2009FQM-5713info:eu-repo/semantics/openAccessoai:idus.us.es:11441/430222026-06-17T12:51:07Z
dc.title.none.fl_str_mv Homotopy theory of nonsymmetric operads
title Homotopy theory of nonsymmetric operads
spellingShingle Homotopy theory of nonsymmetric operads
Muro Jiménez, Fernando
operad
algebra
model category
enriched A∞–category
title_short Homotopy theory of nonsymmetric operads
title_full Homotopy theory of nonsymmetric operads
title_fullStr Homotopy theory of nonsymmetric operads
title_full_unstemmed Homotopy theory of nonsymmetric operads
title_sort Homotopy theory of nonsymmetric operads
dc.creator.none.fl_str_mv Muro Jiménez, Fernando
author Muro Jiménez, Fernando
author_facet Muro Jiménez, Fernando
author_role author
dc.contributor.none.fl_str_mv Álgebra
FQM218: Geometria Algebraica, Sistemas Diferenciales y Singularidades
dc.subject.none.fl_str_mv operad
algebra
model category
enriched A∞–category
topic operad
algebra
model category
enriched A∞–category
description We endow categories of nonsymmetric operads with natural model structures. We work with no restriction on our operads and only assume the usual hypotheses for model categories with a symmetric monoidal structure. We also study categories of algebras over these operads in enriched nonsymmetric monoidal model categories.
publishDate 2011
dc.date.none.fl_str_mv 2011
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/43022
https://doi.org/10.2140/agt.2011.11.1541
url http://hdl.handle.net/11441/43022
https://doi.org/10.2140/agt.2011.11.1541
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Algebraic and Geometric Topology, 11, 1541-1599.
MTM2007-63277
MTM2010-15831
SGR-119-2009
FQM-5713
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Mathematical Sciences Publishers
publisher.none.fl_str_mv Mathematical Sciences Publishers
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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