Homotopy theory of nonsymmetric operads

Fernando Muro

doi:10.2140/agt.2011.11.1541

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Home > Journals > Algebr. Geom. Topol. > Volume 11 > Issue 3 > Article

2011 Homotopy theory of nonsymmetric operads

Fernando Muro

Algebr. Geom. Topol. 11(3): 1541-1599 (2011). DOI: 10.2140/agt.2011.11.1541

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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.