@article{10336/22365, author = {Broto, Carles}, author = {Flores, Ramón}, author = {Giraldo, Carlos}, year = {2019}, url = {https://repository.urosario.edu.co/handle/10336/22365}, 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.}, booktitle = {Journal of Homotopy and Related Structures, ISSN:21938407, 15122891, Vol.14, No.4 (2019); pp. 1043-1082}, title = {Minimality in diagrams of simplicial sets}, publisher = {Springer Verlag}, keywords = {Diagram}, keywords = {Fibre bundle}, keywords = {Minimal fibration}, keywords = {Simplicial space}, doi = {https://doi.org/10.1007/s40062-019-00239-y}, }