Homotopy theory of nonsymmetric operads

Muro, Fernando

doi:10.2140/agt.2011.11.1541

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author Index

To Appear

Other MSP Journals

Homotopy theory of nonsymmetric operads

Fernando Muro

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 $A_{\infty}$–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

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)