Homotopy theory of nonsymmetric operads

Muro, Fernando¹

¹Facultad de Matemáticas, Departamento de Álgebra, Universidad de Sevilla, Avda Reina Mercedes s/n, 41012 Sevilla, Spain

Algebraic and Geometric Topology, Tome 11 (2011) no. 3, pp. 1541-1599

Résumé

We endow categories of nonsymmetric operads with natural model structures. We work with no restriction on our operads and only assume the usual hypotheses for model categories with a symmetric monoidal structure. We also study categories of algebras over these operads in enriched nonsymmetric monoidal model categories.

Détail

DOI : 10.2140/agt.2011.11.1541

Classification : 18D50, 55U35, 18D10, 18D35, 18D20
Keywords: operad, algebra, model category, enriched $A_{\infty}$–category

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