Ítem
Acceso Abierto

Minimality in diagrams of simplicial sets

Título de la revista
Autores
Broto, Carles
Flores, Ramón
Giraldo, Carlos

Miniatura
Archivos

Fecha
2019

Directores

ISSN de la revista
Título del volumen
Editor
Springer Verlag

Citations

Métricas alternativas

Resumen
Abstract
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.
Palabras clave
Keywords
Diagram , Fibre bundle , Minimal fibration , Simplicial space
Citations
Enlace a la fuente
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85074257921&doi=10.1007%2fs40062-019-00239-y&partnerID=40&md5=de0c18852ba68148aeb5a4c09b719492
Colecciones