## New answers tagged operads

0
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### On a generalized homotopy transfer theorem

The Homotopy Transfer Theorem (HTT) applies in great generality. Morally, any algebraic structure encoded by a cofibrant operad can be transferred along weak equivalences between bifibrant objects. ...

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### Which positive flat stable model structures on (flavors of) spectra have the property that cofibrant operad-algebras forget to cofibrant spectra?

I asked this question over a year ago, when revising my paper (joint with Donald Yau) Smith Ideals of Operadic Algebras in Monoidal Model Categories. In the end, I thought this question was relevant ...

4
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Accepted

### Is the free algebra functor over an $\infty$-operad symmetric monoidal?

The answer is no in general, and I can't think of reasonable conditions under which it is yes. David's answer was about the "wrong" monoidal structure but it is still helpful : the free ...

3
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### Is the free algebra functor over an $\infty$-operad symmetric monoidal?

It is instructive to think about the simplest possible case, and do away with all the language of $\infty$-operads. If $R$ and $S$ are rings, and we have a ring homomorphism $f:R\to S$, then the left ...

4
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Accepted

### On infinity-morphisms between algebras over algebraic operads

It is a typo. The map $f$ should only be assumed to be a morphism of the underlying graded $\mathbb S$-modules.

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