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Over suitable monoidal model categories, we construct a Dwyer-Kan modelcategory structure on the category of algebras over an augmented operadiccollection. As examples we obtain Dwyer-Kan model category structure on thecategories of enriched wheeled props, wheeled properads, and wheeled operads,among others. This result extends known model category structure on thecategories of operads, properads, and props enriched in simplicial sets andother monoidal model categories. We also show that our Dwyer-Kan model categorystructure is well behaved with respect to simultaneous changes of theunderlying monoidal model category and the augmented operadic collection.

Dwyer-Kan Homotopy Theory of Algebras over Operadic Collections