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Zbl 1137.18006
Kro, Tore August
Model structure on operads in orthogonal spectra. (English)
[J] Homology Homotopy Appl. 9, No. 2, 97-412 (2007). ISSN 1532-0073; ISSN 1532-0081/e

The author provides Quillen model structure on operads and their algebras when the base category is some symmetric monoidal category of spectra. The author weakens certain assumptions and generalizes some 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. The paper is written in very lively and concise style. The paper is rewarding reading for the researchers.
[Akrur Behera (Rourkela)]

MSC 2000:: *18D50 Operads
55P42 Stable homotopy theory
55U35 Abstract homotopy theory
18G55 Nonabelian homotopical algebra

Keywords: operads; model category; orthogonal spectra

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