English

A model structure for coloured operads in symmetric spectra

Algebraic Topology 2012-02-28 v2 Category Theory

Abstract

We describe a model structure for coloured operads with values in the category of symmetric spectra (with the positive model structure), in which fibrations and weak equivalences are defined at the level of the underlying collections. This allows us to treat R-module spectra (where R is a cofibrant ring spectrum) as algebras over a cofibrant spectrum-valued operad with R as its first term. Using this model structure, we give suficient conditions for homotopical localizations in the category of symmetric spectra to preserve module structures.

Keywords

Cite

@article{arxiv.1006.2316,
  title  = {A model structure for coloured operads in symmetric spectra},
  author = {Javier J. Gutiérrez and Rainer M. Vogt},
  journal= {arXiv preprint arXiv:1006.2316},
  year   = {2012}
}

Comments

16 pages

R2 v1 2026-06-21T15:35:03.992Z