Homotopy algebras are homotopy algebras
Copyright policy )Homotopy algebras are homotopy algebras
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
operads, FOS: Mathematics, Abstract and axiomatic homotopy theory in algebraic topology, Algebraic Topology (math.AT), Chain complexes in algebraic topology, Nonabelian homotopical algebra, homotopy algebra, Mathematics - Algebraic Topology, chain complexes, homotopy invariance
operads, FOS: Mathematics, Abstract and axiomatic homotopy theory in algebraic topology, Algebraic Topology (math.AT), Chain complexes in algebraic topology, Nonabelian homotopical algebra, homotopy algebra, Mathematics - Algebraic Topology, chain complexes, homotopy invariance
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