Article
Homotopy theory of non-symmetric operads, II: Change of base category and left properness
Author/s | Muro Jiménez, Fernando
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Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2014 |
Deposit Date | 2016-07-01 |
Published in |
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Abstract | We prove, under mild assumptions, that a Quillen equivalence between symmetric monoidal model categories gives rise to a Quillen equivalence between their model categories of (non-symmetric) operads, and also between model ... We prove, under mild assumptions, that a Quillen equivalence between symmetric monoidal model categories gives rise to a Quillen equivalence between their model categories of (non-symmetric) operads, and also between model categories of algebras over operads. We also show left properness results on model categories of operads and algebras over operads. As an application, we prove homotopy invariance for (unital) associative operads. |
Project ID. | FQM-5713
![]() MTM2010-15831 ![]() SGR-119-2009 ![]() |
Citation | Muro Jiménez, F. (2014). Homotopy theory of non-symmetric operads, II: Change of base category and left properness. Algebraic and Geometric Topology, 14, 229-281. |
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