2019/02/09 by Schlank, Tomer M., Yanovski, Lior
#Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics
paper · doi:10.48550/arxiv.1902.04061
We extend the theory of d-categories, by providing an explicit description of the right mapping spaces of the d-homotopy category of an ∞-category. Using this description, we deduce an invariant ∞-categorical characterization of the d-homotopy category. We then proceed to develop an analogous theory of d-operads, which model ∞-operads with (d -1)-truncated multi-mapping spaces, and prove analogous results for them.