Minimality in diagrams of simplicial sets

Broto, Carles; Flores, Ramón; Giraldo, Carlos

Ítem

Acceso Abierto

Minimality in diagrams of simplicial sets

https://repository.urosario.edu.co/handle/10336/22365
https://doi.org/10.1007/s40062-019-00239-y

Autores

Broto, Carles

Flores, Ramón

Giraldo, Carlos

Archivos

PDF

Fecha

2019

Editor

Springer Verlag

Citations

Métricas alternativas

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.