Dendroidal spaces, \(\Gamma\)-spaces and the special Barratt-Priddy-Quillen theorem

DOI10.1515/crelle-2018-0002OpenAlexW2581266898MaRDI QIDQ2303073

Pedro Boavida de Brito, Ieke Moerdijk

Publication date: 2 March 2020

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.06459

Mathematics Subject Classification ID

Simplicial sets and complexes in algebraic topology (55U10) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Loop space machines and operads in algebraic topology (55P48) Homotopical algebra, Quillen model categories, derivators (18N40) Topological and simplicial operads (18M75) (infty)-operads and higher algebra (18N70)

Related Items (8)

An infinity operad of normalized cacti ⋮ A homotopy theory of coherently commutative monoidal quasi-categories ⋮ 2-Segal spaces as invertible infinity-operads ⋮ Yoneda lemma for simplicial spaces ⋮ Unnamed Item ⋮ Cyclic homology in a special world ⋮ Twisted arrow categories, operads and Segal conditions ⋮ Morita homotopy theory for (\(\infty\),1)-categories and \(\infty\)-operads

Cites Work

• Unnamed Item
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• Dendroidal sets as models for homotopy operads
• A model category structure on the category of simplicial categories
• Homotopy theories
• A model for the homotopy theory of homotopy theory
• Spaces of smooth embeddings and configuration categories
• Segal objects and the Grothendieck construction
• Dendroidal Segal spaces and ∞-operads
• Dendroidal sets and simplicial operads
• Dendroidal sets as models for connective spectra

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