On the homotopy transfer of $A_\infty$ structures

Jakub Kopřiva, Petr Somberg

Published 2017-04-06Version 1

The present article is devoted to the study of transfers for $A_\infty$ structures, their maps and homotopies, as developed in \cite{Markl06}. In particular, we supply the proofs of claims formulated therein and provide their extension by comparing them with the former approach based on the homological perturbation lemma.