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math.CT2018
Cubical model categories and quasi-categories
Brice Le Grignou
The goal of this article is to emphasize the role of cubical sets in enriched categories theory and infinity-categories theory. We show in particular that categories enriched in cu…
math.AT2018
Homotopy Theory of linear coalgebras
Brice Le Grignou, Damien Lejay
We study extensively the homotopy theory of coalgebras. By coalgebras, we mean the full theory of coalgebras: with counits and not necessarily locally conilpotent. For example $\ma…