Volume 11, issue 3 (2011)

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Fernando Muro

Algebraic & Geometric Topology 11 (2011) 1541–1599
Abstract

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.

Keywords
operad, algebra, model category, enriched $A_{\infty}$–category
Mathematical Subject Classification 2010
Primary: 18D50, 55U35
Secondary: 18D10, 18D35, 18D20