English

Rigidification of dendroidal infinity-operads

Algebraic Topology 2020-12-02 v2

Abstract

We give an explicit description of the rigidification of an \infty-operad as a simplicial operad. This description is based on the notion of dendroidal necklace, extending work of Dugger and Spivak from the categorical context to the operadic context, although with a different framework, which relates constructions involving necklaces to a standard factorization of maps in the category of trees.

Keywords

Cite

@article{arxiv.2004.12296,
  title  = {Rigidification of dendroidal infinity-operads},
  author = {Peter Bonventre and Luis Alexandre Pereira},
  journal= {arXiv preprint arXiv:2004.12296},
  year   = {2020}
}

Comments

Final version accepted for publication in Homology, Homotopy and Applications. arXiv admin note: text overlap with arXiv:1911.06399

R2 v1 2026-06-23T15:06:03.564Z