English

Locally constant n-operads as higher braided operads

Algebraic Topology 2009-07-03 v2 Category Theory

Abstract

We introduce a category of locally constant nn-operads which can be considered as the category of higher braided operads. For n=1,2,n=1,2,\infty the homotopy category of locally constant nn-operads is equivalent to the homotopy category of classical nonsymmetric, braided and symmetric operads correspondingly.

Keywords

Cite

@article{arxiv.0804.4165,
  title  = {Locally constant n-operads as higher braided operads},
  author = {M. A. Batanin},
  journal= {arXiv preprint arXiv:0804.4165},
  year   = {2009}
}

Comments

to appear in "Noncommutative Geometry"

R2 v1 2026-06-21T10:34:44.976Z