Model structure on operads in orthogonal spectra

2007/03/28 by Tore August Kro, Kro, Tore August
Mathematics · Medicine · #55U35 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Pituitary Gland Disorders and Treatments #Primary 18D50 #Secondary 55P42 #math.AT #msc:18D50 #msc:55P42 #msc:55U35

paper · pdf · doi:10.48550/arxiv.math/0703838

15 pages

arxiv created 2007/03/28 · openalex publication_date 2007/03/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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