Is there an explicit way to invert a quasi-isomorphism of two chain complexes?
In case of homotopy algebras ($A_\infty$, $L_\infty$ ect.) there is an explicit way to invert any quasi isomorphism, if we are willing to work with infinity-morphisms. The inversion is then basically done by the homotopy transfer theorem.
Is something like this available for plain chain complexes?