On d-Categories and d-Operads
Algebraic Topology
2019-02-13 v1 Category Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1902.04061,
title = {On d-Categories and d-Operads},
author = {Tomer M. Schlank and Lior Yanovski},
journal= {arXiv preprint arXiv:1902.04061},
year = {2019}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1808.06006