Geodesic
A homotopy theory of coherently commutative monoidal quasi-categories
Theory and applications of categories, Tome 37 (2021), pp. 418-481

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The main objective of this paper is to construct a symmetric monoidal closed model category of coherently commutative monoidal quasi-categories. We construct another model category structure whose fibrant objects are (essentially) those coCartesian fibrations which represent objects that are known as symmetric monoidal quasi-categories in the literature. We go on to establish a zig zag of Quillen equivalences between the two model categories.

Publié le :
Classification : 18N60, 18M05, 18N40, 18N55, 18F25, 19D23
Keywords: Symmetric monoidal quasi-categories, coherently commutative monoidal quasi-categories 
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     author = {Amit Sharma},
     title = {A homotopy theory of coherently commutative monoidal quasi-categories},
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     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2021_37_a15/}
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Amit Sharma. A homotopy theory of coherently commutative monoidal quasi-categories. Theory and applications of categories, Tome 37 (2021), pp. 418-481. http://geodesic.mathdoc.fr/item/TAC_2021_37_a15/