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Free operad over a monoid object The 2019 Stack Overflow Developer Survey Results Are InAn interpretation of this construction giving an operad from a bialgebra?What is the free monoidal category generated by a monoid?Unitalization internal to monoidal categoriesCorrespondence between operads and $infty$-operads with one objectCorrespondence between operads and monads requires tensor distribute over coproduct?understanding the definition of $infty$-operad of module objectsReference for “multi-monoidal categories”When is a quasicategory over $N(Delta)^op$ a planar $infty$-operad?An interpretation of this construction giving an operad from a bialgebra?$H$-space structure on coloured algebrasTwo monoidal structures and copowering 4 $begingroup$ Let $mathcalO$ be an operad in the monoidal category $M$ . Then $mathcalO(1)$ together with the morphisms $$mathcalO(1)otimes mathcalO(1)to mathcalO(1)$$ and the unit $eta:1to mathcalO(1)$ is a monoid object. Moreover...

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