Dendroidal Sets

@inproceedings{Moerdijk2007DendroidalS,
  title={Dendroidal Sets},
  author={Ieke Moerdijk and Ittay Weiss},
  year={2007}
}
We introduce the concept of a dendroidal set. This is a generalization of the notion of a simplicial set, specially suited to the study of (coloured) operads in the context of homotopy theory. We define a category of trees, which extends the category  used in simplicial sets, whose presheaf category is the category of dendroidal sets. We show that there is a closed monoidal structure on dendroidal sets which is closely related to the Boardman–Vogt tensor product of (coloured) operads… Expand
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