A simplicial model for infinity properads

zbMath1426.18005arXiv1502.06522MaRDI QIDQ3121011

Marcy Robertson, Philip Hackney, Donald Y. Yau

Publication date: 19 March 2019

Full work available at URL: https://arxiv.org/abs/1502.06522

zbMATH Keywords

model categoriesdioperadsproperadssimplicial categoriescofibrantly generated model categoriesinfinity properads

Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35) Symmetric monoidal categories (19D23) Loop space machines and operads in algebraic topology (55P48) Enriched categories (over closed or monoidal categories) (18D20) Operads (general) (18M60) Polycategories/dioperads, properads, PROPs, cyclic operads, modular operads (18M85) (infty)-operads and higher algebra (18N70)

Related Items (4)

Moment categories and operads ⋮ Labelled cospan categories and properads ⋮ On rectification and enrichment of infinity properads ⋮ Dwyer–Kan homotopy theory for cyclic operads

Cites Work

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• On homotopy invariance for algebras over colored PROPs
• On inner Kan complexes in the category of dendroidal sets
• Simplicial localizations of categories
• Koszul duality for dioperads.
• Model structures on the category of ex-spaces
• Quasi-categories and Kan complexes
• Infinity properads and infinity wheeled properads
• Polycategories via pseudo-distributive laws
• Dendroidal sets
• The homotopy theory of simplicial props
• Categorical Homotopy Theory
• Dendroidal sets as models for homotopy operads
• A model category structure on the category of simplicial categories
• Topology and logic as a source of algebra
• Polycategories
• A Foundation for PROPs, Algebras, and Modules
• A Koszul duality for props
• Dendroidal Segal spaces and ∞-operads
• Dendroidal sets and simplicial operads
• Higher Topos Theory (AM-170)

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