Ítem
Acceso Abierto
Minimality in diagrams of simplicial sets
Título de la revista
Autores
Broto, Carles
Flores, Ramón
Giraldo, Carlos
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
