The dendroidal category is a test category

DOI10.1017/S030500411800021XzbMath1428.18044arXiv1703.07098MaRDI QIDQ5225813

Denis-Charles Cisinski, Dimitri Ara, Ieke Moerdijk

Publication date: 29 July 2019

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.07098

Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35) Loop space machines and operads in algebraic topology (55P48) Simplicial sets, simplicial objects (18N50)

Related Items (3)

2-Segal spaces as invertible infinity-operads ⋮ Twisted arrow categories, operads and Segal conditions ⋮ Shuffles of trees

Cites Work

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• On the equivalence between Lurie's model and the dendroidal model for infinity-operads
• Joyal's category \(\varTheta\) is a test category
• The cubical category with connections is a strict test category
• On inner Kan complexes in the category of dendroidal sets
• Homotopy invariant algebraic structures on topological spaces
• The groupoidal analogue \(\widetilde{{\Theta}}\) to Joyal's category \(\Theta\) is a test category
• Dendroidal sets
• Categorical homotopy theory
• Dendroidal sets as models for homotopy operads
• Dendroidal Segal spaces and ∞-operads

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