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Condition on a Hopf operad for tensor product in the base category to be a (categorical) cop...
For instance, there is such a structure on the associative or commutative operads, as a tensor product (in the base category, usually sets or modules) of associative (resp. commutative) algebras is endowed … I would like to apply it to $E_\infty$-operads, obtained by taking $\Sigma_*$-projective resolutions of the commutative operad (considered in a category of vector spaces over a field). …