Algebraic & Geometric Topology 11 (2011) 1541–1599

DOI: 10.2140/agt.2011.11.1541

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_∞–category

Mathematical Subject Classification

Primary: 18D50, 55U35

Secondary: 18D10, 18D20, 18D35

References

Publication

Received: 14 January 2011
Accepted: 19 February 2011
Published: 26 May 2011

Authors