Geodesic
Symmetric monoidal categories and Γ-categories
Theory and applications of categories, Tome 35 (2020), pp. 417-512

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

In this paper we construct a symmetric monoidal closed model category of coherently commutative monoidal categories. The main aim of this paper is to establish a Quillen equivalence between a model category of coherently commutative monoidal categories and a natural model category of Permutative (or strict symmetric monoidal) categories, Perm, which is not a symmetric monoidal closed model category. The right adjoint of this Quillen equivalence is the classical Segal's Nerve functor.

Publié le :
Classification : 18M05, 18M60, 18N55, 18F25, 55P42, 19D23
Keywords: Segal's Nerve functor, Theory of Bicycles, Leinster construction 
@article{TAC_2020_35_a13,
     author = {Amit Sharma},
     title = {Symmetric monoidal categories and {\ensuremath{\Gamma}-categories}},
     journal = {Theory and applications of categories},
     pages = {417--512},
     publisher = {mathdoc},
     volume = {35},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2020_35_a13/}
}
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Amit Sharma. Symmetric monoidal categories and Γ-categories. Theory and applications of categories, Tome 35 (2020), pp. 417-512. http://geodesic.mathdoc.fr/item/TAC_2020_35_a13/