119 citations · 156 across the 13 of their papers we have counts for
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Broad posets, trees, and the dendroidal category
Ittay Weiss
An extension of order theory is presented that serves as a formalism for the study of dendroidal sets analogously to way the formalism of order theory is used in the study of simpl…
From Operads to Dendroidal Sets
Ittay Weiss
Dendroidal sets offer a formalism for the study of -operads akin to the formalism of -categories by means of simplicial sets. We present here an account of the curr…
Dold-Kan correspondence for dendroidal abelian groups
Javier J. Gutiérrez, Andor Lukacs, Ittay Weiss
We prove a Dold-Kan type correspondence between the category of dendroidal abelian groups and a suitably constructed category of dendroidal complexes. Our result naturally extends…
On inner Kan complexes in the category of dendroidal sets
Ieke Moerdijk, Ittay Weiss
The category of dendroidal sets is an extension of that of simplicial sets, suitable for defining nerves of operads rather than just of categories. In this paper, we prove some bas…
Dendroidal Sets
Ieke Moerdijk, Ittay Weiss
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 operads in the context of homotopy theory…