Homotopy Algebras are Homotopy Algebras
Abstract
Description
We prove that strongly homotopy algebras (such as $A_\infty$, $C_\infty$, sh Lie, $B_\infty$, $G_\infty$,...) are homotopically invariant in the category of chain complexes. An important consequence is a rigorous proof that `strongly homotopy structures transfer over chain homotopy equivalences.'
LaTeX 2.09, 31 pages, article 12pt + bezier, substantially revised
LaTeX 2.09, 31 pages, article 12pt + bezier, substantially revised