Minimality in diagrams of simplicial sets

"We formulate the concept of minimal fibration in the context of fibrations in the model category SC of C-diagrams of simplicial sets, for a small index category C. When C is an EI-category satisfying some mild finiteness restrictions, we show that every fibration of C-diagrams admits a well-be...

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Autores Principales: Broto, Carles, Flores, Ramón, Giraldo, Carlos
Formato: Artículo (Article)
Lenguaje:Inglés (English)
Publicado: Springer Verlag 2019
Materias:
Acceso en línea:https://repository.urosario.edu.co/handle/10336/22365
https://doi.org/10.1007/s40062-019-00239-y
id ir-10336-22365
recordtype dspace
spelling ir-10336-223652021-01-21T08:20:44Z Minimality in diagrams of simplicial sets Broto, Carles Flores, Ramón Giraldo, Carlos Diagram Fibre bundle Minimal fibration Simplicial space "We formulate the concept of minimal fibration in the context of fibrations in the model category SC of C-diagrams of simplicial sets, for a small index category C. When C is an EI-category satisfying some mild finiteness restrictions, we show that every fibration of C-diagrams admits a well-behaved minimal model. As a consequence, we establish a classification theorem for fibrations in SC over a constant diagram, generalizing the classification theorem of Barratt, Gugenheim, and Moore for simplicial fibrations (Barratt et al. in Am J Math 81:639–657, 1959). © 2019, Tbilisi Centre for Mathematical Sciences." 2019 2020-05-25T23:56:13Z info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 21938407 15122891 https://repository.urosario.edu.co/handle/10336/22365 https://doi.org/10.1007/s40062-019-00239-y eng info:eu-repo/semantics/openAccess application/pdf Springer Verlag instname:Universidad del Rosario reponame:Repositorio Institucional EdocUR
institution EdocUR - Universidad del Rosario
collection DSpace
language Inglés (English)
topic Diagram
Fibre bundle
Minimal fibration
Simplicial space
spellingShingle Diagram
Fibre bundle
Minimal fibration
Simplicial space
Broto, Carles
Flores, Ramón
Giraldo, Carlos
Minimality in diagrams of simplicial sets
description "We formulate the concept of minimal fibration in the context of fibrations in the model category SC of C-diagrams of simplicial sets, for a small index category C. When C is an EI-category satisfying some mild finiteness restrictions, we show that every fibration of C-diagrams admits a well-behaved minimal model. As a consequence, we establish a classification theorem for fibrations in SC over a constant diagram, generalizing the classification theorem of Barratt, Gugenheim, and Moore for simplicial fibrations (Barratt et al. in Am J Math 81:639–657, 1959). © 2019, Tbilisi Centre for Mathematical Sciences."
format Artículo (Article)
author Broto, Carles
Flores, Ramón
Giraldo, Carlos
author_facet Broto, Carles
Flores, Ramón
Giraldo, Carlos
author_sort Broto, Carles
title Minimality in diagrams of simplicial sets
title_short Minimality in diagrams of simplicial sets
title_full Minimality in diagrams of simplicial sets
title_fullStr Minimality in diagrams of simplicial sets
title_full_unstemmed Minimality in diagrams of simplicial sets
title_sort minimality in diagrams of simplicial sets
publisher Springer Verlag
publishDate 2019
url https://repository.urosario.edu.co/handle/10336/22365
https://doi.org/10.1007/s40062-019-00239-y
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score 11,828437