Homotopy theory of nonsymmetric operads

Muro, Fernando

doi:10.2140/agt.2011.11.1541

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Homotopy theory of nonsymmetric operads

Fernando Muro

Algebraic & Geometric Topology 11 (2011) 1541–1599

DOI: 10.2140/agt.2011.11.1541

Correction: 10.2140/agt.2017.17.3837

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

References

Publication

Received: 14 January 2011

Accepted: 19 February 2011

Published: 26 May 2011

Correction: 4 October 2017

Authors

Fernando Muro
Facultad de Matemáticas Departamento de Álgebra Universidad de Sevilla Avda Reina Mercedes s/n 41012 Sevilla Spain
http://personal.us.es/fmuro

Volume 11, issue 3 (2011)