All Questions
1 question
10
votes
5
answers
1k
views
Why are quasi-isomorphisms of homotopy algebras only defined for arity 1?
When reading about homotopy algebras (e.g. $L_\infty$-algebras, $A_\infty$-algebras), an $\infty$-morphism $f$ is called an $\infty$-quasi-isomorphism if $f_1$ is a quasi-isomorphism.
Recall/Example (...