Rectifying Partial Algebras over Operads of Complexes
نویسندگان
چکیده
In [2] Kriz and May introduced partial algebras over an operad. In this paper we prove that, in the category of chain complexes, partial algebras can be functorially replaced by quasi-isomorphic algebras. In particular, partial algebras contain all of the important homological and homotopical information that genuine algebras do. Applying this result to McClure’s partial algebra in [6] shows that the chains of a PL-manifold are quasi-isomorphic to an E∞-algebra.
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Operads, Algebras, Modules, and Motives
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