On Morita weak equivalences of simplicial algebraic theories and operads

Generalizing a classical result of Dwyer and Kan for simplicial categories, we characterize the morphisms of multi-sorted simplicial algebraic theories and simplicial coloured operads which induce a Quillen equivalence between the corresponding categories of algebras.

Detalhes bibliográficos
Autores: Caviglia, Giovanni, Gutiérrez Marín, Javier J.
Formato: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2020
País:España
Recursos:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/194372
Acesso em linha:https://hdl.handle.net/2445/194372
Access Level:acceso abierto
Palavra-chave:Teoria de l'homotopia
Categories (Matemàtica)
Homotopy theory
Categories (Mathematics)
Descrição
Resumo:Generalizing a classical result of Dwyer and Kan for simplicial categories, we characterize the morphisms of multi-sorted simplicial algebraic theories and simplicial coloured operads which induce a Quillen equivalence between the corresponding categories of algebras.