Cyclic multicategories, multivariable adjunctions and mates

DOI10.1017/is013012007jkt250zbMath1326.18005arXiv1208.4520OpenAlexW2057278044WikidataQ117273731 ScholiaQ117273731MaRDI QIDQ3191179

Emily Riehl, Eugenia Cheng, Nick Gurski

Publication date: 24 September 2014

Published in: Journal of K-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.4520

zbMATH Keywords

adjunctionsmulticategoriesmates

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32)

Related Items (12)

The 2-Chu-Dialectica construction and the polycategory of multivariable adjunctions ⋮ Monoidal algebraic model structures ⋮ Morita equivalence of semigroups revisited: firm semigroups ⋮ Weak units, universal cells, and coherence via universality for bicategories ⋮ Modular operads and the nerve theorem ⋮ LNL polycategories and doctrines of linear logic ⋮ Proofs and surfaces ⋮ Higher cyclic operads ⋮ Categorified cyclic operads ⋮ A graphical category for higher modular operads ⋮ Dwyer–Kan homotopy theory for cyclic operads ⋮ The additivity of traces in monoidal derivators

Cites Work

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• A Quillen model structure for bicategories
• A Quillen model structure for 2-categories
• Monoidal algebraic model structures
• Coherence in closed categories
• Feynman Graphs, and Nerve Theorem for Compact Symmetric Multicategories (Extended Abstract)
• Understanding the small object argument
• Simplicial homotopy theory

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