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The goal of this article is to emphasize the role of cubical sets in enriched category theory and infinity-category theory. We show in particular that categories enriched in cubical sets provide a convenient way to describe many infinity-categories appearing in the context of homological algebra.
@article{TAC_2020_35_a17, author = {Brice Le Grignou}, title = {Cubical model categories and quasi-categories}, journal = {Theory and applications of categories}, pages = {622--664}, publisher = {mathdoc}, volume = {35}, year = {2020}, language = {en}, url = {http://geodesic.mathdoc.fr/item/TAC_2020_35_a17/} }
Brice Le Grignou. Cubical model categories and quasi-categories. Theory and applications of categories, Tome 35 (2020), pp. 622-664. http://geodesic.mathdoc.fr/item/TAC_2020_35_a17/