Rigidification of dendroidal infinity-operads

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

operad, dendroidal set

2010 Mathematics Subject Classification

18-xx, 55P91

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Received 26 April 2020

Accepted 24 September 2020

Published 15 September 2021