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Axiomatic homotopy theory for operads

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Commentarii Mathematici Helvetici

Abstract

We give sufficient conditions for the existence of a model structure on operads in an arbitrary symmetric monoidal model category. General invariance properties for homotopy algebras over operads are deduced.

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Authors and Affiliations

  1. Laboratoire J.-A. Dieudonné, Université de Nice, Parc Valrose, 06108, Nice, France

    Clemens Berger

  2. Mathematisch Instituut, 80.010, 3508 TA, Utrecht, The Netherlands

    Ieke Moerdijk

Authors
  1. Clemens Berger
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  2. Ieke Moerdijk
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Correspondence to Clemens Berger.

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Cite this article

Berger, C., Moerdijk, I. Axiomatic homotopy theory for operads . Comment. Math. Helv. 78, 805–831 (2003). https://doi.org/10.1007/s00014-003-0772-y

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  • DOI: https://doi.org/10.1007/s00014-003-0772-y

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