On Morita weak equivalences of simplicial algebraic theories and operads

DOI10.1016/j.jpaa.2019.106217zbMath1429.55018arXiv1808.09045OpenAlexW2972945577WikidataQ127281375 ScholiaQ127281375MaRDI QIDQ2332160

Giovanni Caviglia, Javier J. Gutiérrez

Publication date: 1 November 2019

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.09045

zbMATH Keywords

Quillen equivalencesimplicial categorycategory of algebrascoloured operadmulti-sorted algebraic theory

Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35) Theories (e.g., algebraic theories), structure, and semantics (18C10) Simplicial sets, simplicial objects (18N50) Operads (general) (18M60)

Related Items

Morita homotopy theory for (\(\infty\),1)-categories and \(\infty\)-operads

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rigidification of algebras over multi-sorted theories
• Categories of actions and Morita equivalence
• Algebraic theories in homotopy theory
• Morita homotopy theory for (\(\infty\),1)-categories and \(\infty\)-operads
• The Boardman-Vogt resolution of operads in monoidal model categories
• Dendroidal sets and simplicial operads
• Simplicial homotopy theory
• Every homotopy theory of simplicial algebras admits a proper model