Homology, Homotopy and Applications

Volume 9 (2007)

Number 2

Model structure on operads in orthogonal spectra

Pages: 397 – 412

DOI: https://dx.doi.org/10.4310/HHA.2007.v9.n2.a14


Tore August Kro (Department of Mathematical Sciences, NTNU, Trondheim, Norway)


We generalize Berger and Moerdijk’s results on axiomatic homotopy theory for operads to the setting of enriched symmetric monoidal model categories, and show how this theory applies to orthogonal spectra. In particular, we provide a symmetric fibrant replacement functor for the positive stable model structure.


model category, operads, orthogonal spectra

2010 Mathematics Subject Classification

Primary 18D50. Secondary 55P42, 55U35.

Published 1 January 2007