Algebraic Definition of weak ($\infty$; n)-Categories

Camell Kachour

In this paper we define a sequence of monads ${\mathbb{T}}^{(}\infty ;n)$ $(n\in \mathbb{N})$ on $\infty$-$\mathbb{G}\text{r}$, the category of the $\infty$-graphs. We conjecture that al…