A Model Structure for Enriched Coloured Operads

Giovanni Caviglia

A Model Structure for Enriched Coloured Operads

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arxiv 1401.6983 v1 pith:WUQY4WNU submitted 2014-01-27 math.AT math.CT

Giovanni Caviglia This is my paper · ORCID

classification math.ATmath.CT

keywords modelstructureoperadscategorycolouredenrichedmathcalcase

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abstract

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.

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Homotopy theory of equivariant operads with fixed colors
math.AT 2019-08 accept novelty 7.0 of 10

Fixed-color equivariant simplicial operads admit model structures whose weak equivalences are detected by graph subgroups or by any chosen (G,Sigma)-family of subgroups.

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