A model category structure on the category of simplicial multicategories
We establish a Quillen model structure on simplicial(symmetric) multicategories. It extends the model structure on simplicial categories due to J. Bergner [2]. We observe that our technique of proof enables us to prove a similar result for (symmetric) multicategories enriched over other monoidal mod...
| Author: | |
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| Format: | article |
| Publication Date: | 2008 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:44438 |
| Online Access: | https://ddd.uab.cat/record/44438 |
| Access Level: | Open access |
| Keyword: | Categories (Matemàtica) |
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A model category structure on the category of simplicial multicategoriesStanculescu, AlexandruCategories (Matemàtica)We establish a Quillen model structure on simplicial(symmetric) multicategories. It extends the model structure on simplicial categories due to J. Bergner [2]. We observe that our technique of proof enables us to prove a similar result for (symmetric) multicategories enriched over other monoidal model categories than simplicial sets. Examples include small categories, simplicial abelian groups and compactly generated Hausdorff spaces.Centre de Recerca MatemàticaCentre de Recerca Matemàtica 22008-01-0120082008-01-01Articlehttp://purl.org/coar/resource_type/c_6501AOhttp://purl.org/coar/version/c_b1a7d7d4d402bcceinfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/44438reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.https://creativecommons.org/licenses/by-nc-nd/2.5/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:444382026-06-06T12:50:31Z |
| dc.title.none.fl_str_mv |
A model category structure on the category of simplicial multicategories |
| title |
A model category structure on the category of simplicial multicategories |
| spellingShingle |
A model category structure on the category of simplicial multicategories Stanculescu, Alexandru Categories (Matemàtica) |
| title_short |
A model category structure on the category of simplicial multicategories |
| title_full |
A model category structure on the category of simplicial multicategories |
| title_fullStr |
A model category structure on the category of simplicial multicategories |
| title_full_unstemmed |
A model category structure on the category of simplicial multicategories |
| title_sort |
A model category structure on the category of simplicial multicategories |
| dc.creator.none.fl_str_mv |
Stanculescu, Alexandru |
| author |
Stanculescu, Alexandru |
| author_facet |
Stanculescu, Alexandru |
| author_role |
author |
| dc.contributor.none.fl_str_mv |
Centre de Recerca Matemàtica |
| dc.subject.none.fl_str_mv |
Categories (Matemàtica) |
| topic |
Categories (Matemàtica) |
| description |
We establish a Quillen model structure on simplicial(symmetric) multicategories. It extends the model structure on simplicial categories due to J. Bergner [2]. We observe that our technique of proof enables us to prove a similar result for (symmetric) multicategories enriched over other monoidal model categories than simplicial sets. Examples include small categories, simplicial abelian groups and compactly generated Hausdorff spaces. |
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2008 |
| dc.date.none.fl_str_mv |
2 2008-01-01 2008 2008-01-01 |
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Article http://purl.org/coar/resource_type/c_6501 AO http://purl.org/coar/version/c_b1a7d7d4d402bcce |
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info:eu-repo/semantics/article |
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article |
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https://ddd.uab.cat/record/44438 |
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https://ddd.uab.cat/record/44438 |
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Inglés eng |
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Inglés |
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eng |
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open access http://purl.org/coar/access_right/c_abf2 https://creativecommons.org/licenses/by-nc-nd/2.5/ |
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info:eu-repo/semantics/openAccess |
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open access http://purl.org/coar/access_right/c_abf2 https://creativecommons.org/licenses/by-nc-nd/2.5/ |
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openAccess |
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application/pdf |
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Centre de Recerca Matemàtica |
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Centre de Recerca Matemàtica |
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reponame:Dipòsit Digital de Documents de la UAB instname:Universitat Autònoma de Barcelona |
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Universitat Autònoma de Barcelona |
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Dipòsit Digital de Documents de la UAB |
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Dipòsit Digital de Documents de la UAB |
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15.301603 |