Rigidification of dendroidal infinity-operads

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.

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