Corpus ID: 118659500

A Model Structure for Enriched Coloured Operads

@article{Caviglia2014AMS,
  title={A Model Structure for Enriched Coloured Operads},
  author={G. Caviglia},
  journal={arXiv: Algebraic Topology},
  year={2014}
}
  • G. Caviglia
  • Published 2014
  • Mathematics
  • arXiv: Algebraic Topology
  • We prove that, under certain conditions, the model structure on a monoidal model category $\mathcal{V}$ can be transferred to a model structure on the category of $\mathcal{V}$-enriched coloured (symmetric) operads. As a particular case we recover the known model structure on simplicial operads. 

    Figures from this paper.

    A folk quillen model structure for operads
    On the unit of a monoidal model category
    2
    Admissibility and rectification of colored symmetric operads
    31
    Enriched $\infty$-operads
    5
    Quantisation of derived Poisson structures
    3
    Quantisation of derived Poisson structures
    4
    Composition + Homotopy = Cubes

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 37 REFERENCES
    On the homotopy theory of enriched categories
    41
    RESOLUTION OF COLOURED OPERADS AND RECTIFICATION OF HOMOTOPY ALGEBRAS
    125
    A model structure for coloured operads in symmetric spectra
    14
    Model category structures in bifibred categories
    30
    The Homotopy Theory of Simplicially Enriched Multicategories
    18
    Locally presentable and accessible categories
    663
    Homotopy theory of modules over operads and non-Sigma operads in monoidal model categories
    31