2012/08/03 by Kachour, Camell
#18B40 #18C15 #18C20 #18G55 #20L99 #55P15 #55U35 #Category Theory (math.CT) #FOS: Mathematics #K-Theory and Homology (math.KT)
paper · doi:10.48550/arxiv.1208.0660
In this paper we define a sequence of monads \mathbbT^(∞;n) (n∈ℕ) on ∞-\mathbbGr, the category of the ∞-graphs. We conjecture that algebras for \mathbbT^(0;n) which are defined in a purely algebraic setting, are models of weak ∞-groupoids. And for all n>1 we conjecture that algebras for \mathbbT^(∞;n) which are defined in a purely algebraic setting, are models of weak (∞; n)-categories.